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	1495d	Isogeny class
Conductor	1495	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	120	Modular degree for the optimal curve
Δ	37375 = 53 · 13 · 23	Discriminant
Eigenvalues	1  1 5-  1 -6 13- -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-13,13]	[a1,a2,a3,a4,a6]
Generators	[-1:5:1]	Generators of the group modulo torsion
j	217081801/37375	j-invariant
L	3.8436719903711	L(r)(E,1)/r!
Ω	3.4828029404859	Real period
R	0.36787151575438	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23920v1 95680b1 13455f1 7475b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1495d1

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	1	-	1	-6	-	-3	-4	+	-1	-5	4	-4	12	6	-14	-13	8	11	12	3	-15	9	-11	6

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Quadratic twists for elliptic curve 1495d1

-4	8	-3	5	-7	13	-23
23920v1	95680b1	13455f1	7475b1	73255d1	19435b1	34385d1

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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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