Cremona's table of elliptic curves

11310 = 2 · 3 · 5 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13+ 29-	Signs for the Atkin-Lehner involutions
Class	11310n	Isogeny class
Conductor	11310	Conductor
∏ cp	864	Product of Tamagawa factors cp
deg	69120	Modular degree for the optimal curve
Δ	1333551278592000 = 212 · 312 · 53 · 132 · 29	Discriminant
Eigenvalues	2- 3- 5-  0 -4 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-28315,523217]	[a1,a2,a3,a4,a6]
Generators	[-166:893:1]	Generators of the group modulo torsion
j	2510581756496128561/1333551278592000	j-invariant
L	8.4179185149427	L(r)(E,1)/r!
Ω	0.42242922503039	Real period
R	0.36902603008855	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	90480bg1 33930g1 56550i1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11310n1

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	-4	+	2	0	-4	-	-8	-10	-2	-12	0	-10	12	-14	-8	-8	-6	8	12	-2	18

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Quadratic twists for elliptic curve 11310n1

-4	-3	5
90480bg1	33930g1	56550i1

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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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