Atkin-Lehner |
2- 3- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630bf |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
618483600 = 24 · 37 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-338,-1983] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:15:1] |
Generators of the group modulo torsion |
j |
5841725401/848400 |
j-invariant |
L |
7.1953450957545 |
L(r)(E,1)/r! |
Ω |
1.1245035051914 |
Real period |
R |
0.7998357788731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210j1 |
Quadratic twists by: -3 |