Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74958a |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6197520 |
Modular degree for the optimal curve |
Δ |
2.0550776740613E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 -4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7452094,3703477492] |
[a1,a2,a3,a4,a6] |
Generators |
[-461535456044007249:6794747340502171300:161442390695851] |
Generators of the group modulo torsion |
j |
53661798694633/24095430528 |
j-invariant |
L |
3.288484353374 |
L(r)(E,1)/r! |
Ω |
0.10899256162467 |
Real period |
R |
30.171640195947 |
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 |
74958n1 |
Quadratic twists by: -31 |