Cremona's table of elliptic curves

12950 = 2 · 5² · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 37+	Signs for the Atkin-Lehner involutions
Class	12950c	Isogeny class
Conductor	12950	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	141640625000 = 23 · 510 · 72 · 37	Discriminant
Eigenvalues	2+ -2 5+ 7- -4 -2 -4  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-39376,-3010602]	[a1,a2,a3,a4,a6]
j	432098362306801/9065000	j-invariant
L	0.67783426533766	L(r)(E,1)/r!
Ω	0.33891713266883	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	103600bf2 116550eu2 2590e2 90650h2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 12950c2

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
+	-2	+	-	-4	-2	-4	8	0	2	10	+	6	12	-8	6	4	-6	-8	0	-2	-16	-14	-12	16

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Quadratic twists for elliptic curve 12950c2

-4	-3	5	-7
103600bf2	116550eu2	2590e2	90650h2

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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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