Cremona's table of elliptic curves

92950 = 2 · 5² · 11 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 13+	Signs for the Atkin-Lehner involutions
Class	92950cc	Isogeny class
Conductor	92950	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	208795690317500000 = 25 · 57 · 113 · 137	Discriminant
Eigenvalues	2-  0 5+  0 11- 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-62383082755,5997213243699747]	[a1,a2,a3,a4,a6]
Generators	[49461937:-24990190:343]	Generators of the group modulo torsion
j	355995140004443961140387841/2768480	j-invariant
L	9.2097613743774	L(r)(E,1)/r!
Ω	0.070398518266524	Real period
R	4.3607742495272	Regulator
r	1	Rank of the group of rational points
S	1.000000000492	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18590e4 7150a4	Quadratic twists by: 5 13

Hecke Eigenvalues for elliptic curve 92950cc4

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

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Quadratic twists for elliptic curve 92950cc4

5	13
18590e4	7150a4

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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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