Cremona's table of elliptic curves

11970 = 2 · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	11970t	Isogeny class
Conductor	11970	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	24576	Modular degree for the optimal curve
Δ	1810939576320 = 216 · 37 · 5 · 7 · 192	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-7875,-259115]	[a1,a2,a3,a4,a6]
Generators	[-49:110:1]	Generators of the group modulo torsion
j	74093292126001/2484142080	j-invariant
L	2.5825981702816	L(r)(E,1)/r!
Ω	0.50784025846406	Real period
R	1.2713634490561	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	95760dm1 3990u1 59850fr1 83790by1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970t1

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

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Quadratic twists for elliptic curve 11970t1

-4	-3	5	-7
95760dm1	3990u1	59850fr1	83790by1

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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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