Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350a |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
-8.2788838539264E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,249558,1383449716] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:36713:1] |
Generators of the group modulo torsion |
j |
4074304020054813/1962402098708480 |
j-invariant |
L |
4.8528482098136 |
L(r)(E,1)/r! |
Ω |
0.12341040239002 |
Real period |
R |
4.9153557112112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350cw2 12870bd1 |
Quadratic twists by: -3 5 |