Cremona's table of elliptic curves

1495 = 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	5+ 13+ 23-	Signs for the Atkin-Lehner involutions
Class	1495b	Isogeny class
Conductor	1495	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	9240	Modular degree for the optimal curve
Δ	1104737935234375 = 57 · 133 · 235	Discriminant
Eigenvalues	-1  3 5+  1  2 13+ -3  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-27453,-705794]	[a1,a2,a3,a4,a6]
j	2288117440553811489/1104737935234375	j-invariant
L	1.9461261043408	L(r)(E,1)/r!
Ω	0.38922522086816	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23920g1 95680bb1 13455g1 7475c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1495b1

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
-1	3	+	1	2	+	-3	4	-	7	-5	8	4	0	-6	2	11	-8	11	-4	9	3	9	7	-2

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Quadratic twists for elliptic curve 1495b1

-4	8	-3	5	-7	13	-23
23920g1	95680bb1	13455g1	7475c1	73255s1	19435d1	34385j1

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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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