Cremona's table of elliptic curves

14070 = 2 · 3 · 5 · 7 · 67

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 67-	Signs for the Atkin-Lehner involutions
Class	14070f	Isogeny class
Conductor	14070	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	86016	Modular degree for the optimal curve
Δ	2266132119552000 = 232 · 32 · 53 · 7 · 67	Discriminant
Eigenvalues	2+ 3- 5- 7-  0 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-32838,5656]	[a1,a2,a3,a4,a6]
Generators	[230:2037:1]	Generators of the group modulo torsion
j	3915928883952048601/2266132119552000	j-invariant
L	4.7964474967451	L(r)(E,1)/r!
Ω	0.38975339108032	Real period
R	4.1021216719033	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	112560bs1 42210t1 70350bu1 98490d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14070f1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-	-	0	-2	6	0	-8	-2	-8	-2	10	-4	0	-14	-8	-2	-	0	6	12	-12	-14	-14

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Quadratic twists for elliptic curve 14070f1

-4	-3	5	-7
112560bs1	42210t1	70350bu1	98490d1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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