Cremona's table of elliptic curves

13860 = 2² · 3² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	13860i	Isogeny class
Conductor	13860	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7319455799040 = 28 · 39 · 5 · 74 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  0  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4863,9718]	[a1,a2,a3,a4,a6]
Generators	[-42:374:1]	Generators of the group modulo torsion
j	68150496976/39220335	j-invariant
L	4.1750442049188	L(r)(E,1)/r!
Ω	0.63440240556625	Real period
R	3.2905330814378	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	55440dq2 4620l2 69300bq2 97020cl2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13860i2

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

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Quadratic twists for elliptic curve 13860i2

-4	-3	5	-7
55440dq2	4620l2	69300bq2	97020cl2

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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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