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	14070g	Isogeny class
Conductor	14070	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	36864	Modular degree for the optimal curve
Δ	4130970009600 = 224 · 3 · 52 · 72 · 67	Discriminant
Eigenvalues	2- 3+ 5- 7-  4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-6495,173445]	[a1,a2,a3,a4,a6]
j	30301585803604081/4130970009600	j-invariant
L	4.5036452451485	L(r)(E,1)/r!
Ω	0.75060754085808	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	112560cs1 42210h1 70350bd1 98490bq1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14070g1

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
-	+	-	-	4	6	2	-4	0	6	0	6	-6	4	8	-10	12	-2	+	0	10	0	-12	2	-14

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Quadratic twists for elliptic curve 14070g1

-4	-3	5	-7
112560cs1	42210h1	70350bd1	98490bq1

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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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