Atkin-Lehner |
5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635m |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-29851186310435 = -1 · 5 · 7 · 318 |
Discriminant |
Eigenvalues |
2 1 5- 7+ 5 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-320,262771] |
[a1,a2,a3,a4,a6] |
Generators |
[8233932278:154949246613:23393656] |
Generators of the group modulo torsion |
j |
-4096/33635 |
j-invariant |
L |
14.678908519269 |
L(r)(E,1)/r! |
Ω |
0.52978146378669 |
Real period |
R |
13.853739251605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1085g1 |
Quadratic twists by: -31 |