Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344eb |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
8340725952 = 26 · 33 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 0 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:66:1] [52:338:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
8.7285739709401 |
L(r)(E,1)/r! |
Ω |
1.1051474503449 |
Real period |
R |
3.9490540232645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344eb1 48672bh2 97344dz1 576f1 |
Quadratic twists by: -4 8 -3 13 |