Atkin-Lehner |
2- 3- 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458bd |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
53081347866624 = 214 · 38 · 7 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91436,-10613329] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:133:1] |
Generators of the group modulo torsion |
j |
115969394021782393/72813920256 |
j-invariant |
L |
8.9846460267874 |
L(r)(E,1)/r! |
Ω |
0.27455982439088 |
Real period |
R |
2.3374156499792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24486h1 |
Quadratic twists by: -3 |