Cremona's table of elliptic curves

Curve 15295b1

15295 = 5 · 7 · 19 · 23



Data for elliptic curve 15295b1

Field Data Notes
Atkin-Lehner 5+ 7- 19- 23- Signs for the Atkin-Lehner involutions
Class 15295b Isogeny class
Conductor 15295 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 19008 Modular degree for the optimal curve
Δ 480406390625 = 56 · 7 · 192 · 233 Discriminant
Eigenvalues -1  2 5+ 7- -2  6  2 19- Hecke eigenvalues for primes up to 20
Equation [1,1,1,-2566,-38366] [a1,a2,a3,a4,a6]
j 1868547946835809/480406390625 j-invariant
L 2.0505832562974 L(r)(E,1)/r!
Ω 0.68352775209912 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 76475d1 107065h1 Quadratic twists by: 5 -7


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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