Atkin-Lehner |
3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bj |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-130647779412046875 = -1 · 38 · 56 · 11 · 415 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 11+ 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2592,-17389809] |
[a1,a2,a3,a4,a6] |
Generators |
[95370:2527197:125] |
Generators of the group modulo torsion |
j |
-169112377/11469763899 |
j-invariant |
L |
9.0043005930469 |
L(r)(E,1)/r! |
Ω |
0.15028798113358 |
Real period |
R |
5.9913643983582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825s1 4059c1 |
Quadratic twists by: -3 5 |