Atkin-Lehner |
2+ 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050i |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
397638720000000 = 212 · 34 · 57 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44750,3496500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1922:6343:8] [-180:2490:1] |
Generators of the group modulo torsion |
j |
634304757684961/25448878080 |
j-invariant |
L |
6.1392076900065 |
L(r)(E,1)/r! |
Ω |
0.52858182233044 |
Real period |
R |
1.4518111082017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010bc1 |
Quadratic twists by: 5 |