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	12950l	Isogeny class
Conductor	12950	Conductor
∏ cp	90	Product of Tamagawa factors cp
Δ	-7.1193377898496E+20	Discriminant
Eigenvalues	2-  2 5+ 7+  6 -5  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1908813,-1637361469]	[a1,a2,a3,a4,a6]
j	-49225921256294301961/45563761855037440	j-invariant
L	5.5675509175485	L(r)(E,1)/r!
Ω	0.06186167686165	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	103600bo3 116550bj3 2590c3 90650ck3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 12950l3

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	+	+	6	-5	0	2	-3	3	5	+	0	10	9	-9	6	8	13	3	7	-10	0	-15	10

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Quadratic twists for elliptic curve 12950l3

-4	-3	5	-7
103600bo3	116550bj3	2590c3	90650ck3

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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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