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	13860c	Isogeny class
Conductor	13860	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-2142880185600 = -1 · 28 · 33 · 52 · 7 · 116	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-6543,215542]	[a1,a2,a3,a4,a6]
j	-4481782160112/310023175	j-invariant
L	1.6204033863258	L(r)(E,1)/r!
Ω	0.8102016931629	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	55440bu2 13860f4 69300e2 97020y2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 13860c2

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

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Quadratic twists for elliptic curve 13860c2

-4	-3	5	-7
55440bu2	13860f4	69300e2	97020y2

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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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