Cremona's table of elliptic curves

15600 = 2⁴ · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	15600bf	Isogeny class
Conductor	15600	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	164511360000000 = 213 · 32 · 57 · 134	Discriminant
Eigenvalues	2- 3+ 5+  0  0 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-193408,32797312]	[a1,a2,a3,a4,a6]
Generators	[-328:7800:1]	Generators of the group modulo torsion
j	12501706118329/2570490	j-invariant
L	4.2165555715543	L(r)(E,1)/r!
Ω	0.55788658316755	Real period
R	0.9447609287388	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	1950w3 62400gc4 46800dq4 3120u3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15600bf3

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

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Quadratic twists for elliptic curve 15600bf3

-4	8	-3	5
1950w3	62400gc4	46800dq4	3120u3

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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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