Atkin-Lehner |
2+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46480a |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-75613664000 = -1 · 28 · 53 · 73 · 832 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 1 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,-13181] |
[a1,a2,a3,a4,a6] |
j |
721888256/295365875 |
j-invariant |
L |
3.0615435830884 |
L(r)(E,1)/r! |
Ω |
0.51025726384451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240d1 |
Quadratic twists by: -4 |