Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575ba |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-59760736083984375 = -1 · 37 · 514 · 112 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16083,-11739384] |
[a1,a2,a3,a4,a6] |
Generators |
[47446932:-1366453778:59319] |
Generators of the group modulo torsion |
j |
40388911991/5246484375 |
j-invariant |
L |
8.6309154001638 |
L(r)(E,1)/r! |
Ω |
0.16619144157047 |
Real period |
R |
12.98339331998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30525v1 18315t1 |
Quadratic twists by: -3 5 |