Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52094k |
Isogeny class |
Conductor |
52094 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
1103831851781327872 = 210 · 73 · 617 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -3 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2684779,1692231985] |
[a1,a2,a3,a4,a6] |
Generators |
[-1398:52793:1] |
Generators of the group modulo torsion |
j |
41540367914137/21425152 |
j-invariant |
L |
8.7786059217476 |
L(r)(E,1)/r! |
Ω |
0.27176365364454 |
Real period |
R |
0.26918628877135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854a1 |
Quadratic twists by: 61 |