Cremona's table of elliptic curves

4940 = 2² · 5 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 13+ 19+	Signs for the Atkin-Lehner involutions
Class	4940g	Isogeny class
Conductor	4940	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	-98800 = -1 · 24 · 52 · 13 · 19	Discriminant
Eigenvalues	2- -2 5-  2 -2 13+  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,10,13]	[a1,a2,a3,a4,a6]
Generators	[1:5:1]	Generators of the group modulo torsion
j	6243584/6175	j-invariant
L	2.9619145287141	L(r)(E,1)/r!
Ω	2.2168141163942	Real period
R	0.66805658327633	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19760w1 79040o1 44460f1 24700g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4940g1

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	-	2	-2	+	3	+	-3	0	1	-3	7	-7	-12	0	-13	15	15	8	-14	-14	14	-6	-1

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Quadratic twists for elliptic curve 4940g1

-4	8	-3	5	13	-19
19760w1	79040o1	44460f1	24700g1	64220d1	93860q1

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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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