Cremona's table of elliptic curves

15456 = 2⁵ · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	15456m	Isogeny class
Conductor	15456	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1978368 = 212 · 3 · 7 · 23	Discriminant
Eigenvalues	2- 3+  2 7-  0  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2577,-49503]	[a1,a2,a3,a4,a6]
Generators	[12055:95984:125]	Generators of the group modulo torsion
j	462248527168/483	j-invariant
L	4.9298058978321	L(r)(E,1)/r!
Ω	0.67004957219786	Real period
R	7.3573748904303	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	15456d3 30912z1 46368z4 108192bt4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15456m2

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	-	0	2	-6	0	+	-6	8	2	-6	-4	4	10	-12	2	-4	-8	2	16	4	2	-2

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Quadratic twists for elliptic curve 15456m2

-4	8	-3	-7
15456d3	30912z1	46368z4	108192bt4

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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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