Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620bf |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
85 |
Product of Tamagawa factors cp |
deg |
5654880 |
Modular degree for the optimal curve |
Δ |
5.0910411028814E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9958006,5329730069] |
[a1,a2,a3,a4,a6] |
Generators |
[-2215:128547:1] |
Generators of the group modulo torsion |
j |
139291573340166716336896/64936748761242890625 |
j-invariant |
L |
6.4524611348259 |
L(r)(E,1)/r! |
Ω |
0.10061581865596 |
Real period |
R |
0.75446692657639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620k1 |
Quadratic twists by: -7 |