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	11310c	Isogeny class
Conductor	11310	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	6032611833300 = 22 · 38 · 52 · 13 · 294	Discriminant
Eigenvalues	2+ 3+ 5- -4 -4 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-8352,-272484]	[a1,a2,a3,a4,a6]
Generators	[-58:174:1] [-53:184:1]	Generators of the group modulo torsion
j	64443098670429961/6032611833300	j-invariant
L	3.974328972406	L(r)(E,1)/r!
Ω	0.50239281289954	Real period
R	0.98884997713919	Regulator
r	2	Rank of the group of rational points
S	1.0000000000003	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	90480cc4 33930ba4 56550bv4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 11310c3

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	-4	-	-6	-4	-8	-	8	-6	-2	-4	0	-10	-8	-10	-8	-4	14	-16	-16	14	-10

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Quadratic twists for elliptic curve 11310c3

-4	-3	5
90480cc4	33930ba4	56550bv4

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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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