Atkin-Lehner |
2- 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77714k |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5462016 |
Modular degree for the optimal curve |
Δ |
6.9984491666478E+21 |
Discriminant |
Eigenvalues |
2- -1 0 7- -3 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31901598,-69249642197] |
[a1,a2,a3,a4,a6] |
Generators |
[19459:2574579:1] |
Generators of the group modulo torsion |
j |
30519174832533755628625/59485836400205488 |
j-invariant |
L |
6.386536685 |
L(r)(E,1)/r! |
Ω |
0.063532697858693 |
Real period |
R |
6.2827261591842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11102h1 |
Quadratic twists by: -7 |