Cremona's table of elliptic curves

4950 = 2 · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	4950g	Isogeny class
Conductor	4950	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	197653500 = 22 · 33 · 53 · 114	Discriminant
Eigenvalues	2+ 3+ 5- -4 11-  0  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-282,-1624]	[a1,a2,a3,a4,a6]
Generators	[-10:16:1]	Generators of the group modulo torsion
j	736314327/58564	j-invariant
L	2.5219146514546	L(r)(E,1)/r!
Ω	1.170713650134	Real period
R	0.26927108212649	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	39600co2 4950bb2 4950bc2 54450er2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4950g2

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	-	0	2	8	-4	0	-8	-4	-4	-8	12	-2	12	2	8	-8	-4	-4	12	16	-16

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Quadratic twists for elliptic curve 4950g2

-4	-3	5	-11
39600co2	4950bb2	4950bc2	54450er2

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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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