Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440k |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
3555328000 = 217 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -5 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,-2719] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-16:1] [-16:25:1] |
Generators of the group modulo torsion |
j |
94091762/27125 |
j-invariant |
L |
7.1827171564332 |
L(r)(E,1)/r! |
Ω |
1.0416956417388 |
Real period |
R |
1.7238041680943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440cs1 8680g1 |
Quadratic twists by: -4 8 |