Cremona's table of elliptic curves

5104 = 2⁴ · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 11- 29-	Signs for the Atkin-Lehner involutions
Class	5104b	Isogeny class
Conductor	5104	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3680	Modular degree for the optimal curve
Δ	-37892096 = -1 · 212 · 11 · 292	Discriminant
Eigenvalues	2-  3  1 -4 11-  6  4  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-592,5552]	[a1,a2,a3,a4,a6]
j	-5601816576/9251	j-invariant
L	4.1017634355769	L(r)(E,1)/r!
Ω	2.0508817177884	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	319a1 20416e1 45936bh1 127600bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5104b1

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
-	3	1	-4	-	6	4	2	-3	-	7	-11	4	4	-8	2	3	2	15	7	2	-6	6	9	-17

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Quadratic twists for elliptic curve 5104b1

-4	8	-3	5	-11
319a1	20416e1	45936bh1	127600bi1	56144o1

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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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