Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350f |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
1.3765455916875E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -3 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1058450,-379663500] |
[a1,a2,a3,a4,a6] |
Generators |
[-56820:377526:125] |
Generators of the group modulo torsion |
j |
16462225/1728 |
j-invariant |
L |
2.6164653107518 |
L(r)(E,1)/r! |
Ω |
0.14985439785468 |
Real period |
R |
8.7300251050659 |
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 |
76050ep1 25350dk1 25350by1 |
Quadratic twists by: -3 5 13 |