Atkin-Lehner |
3+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975b |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1607040 |
Modular degree for the optimal curve |
Δ |
38234035283203125 = 39 · 510 · 193 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 3 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1106367,-447541084] |
[a1,a2,a3,a4,a6] |
Generators |
[-54965673093507410:43264618740939367:91477804335112] |
Generators of the group modulo torsion |
j |
779166438075/198911 |
j-invariant |
L |
7.3252166940466 |
L(r)(E,1)/r! |
Ω |
0.14720799113765 |
Real period |
R |
24.880499480484 |
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 |
123975e1 123975i1 |
Quadratic twists by: -3 5 |