Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176t |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-886021142740992 = -1 · 217 · 38 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 -2 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43788,-3806480] |
[a1,a2,a3,a4,a6] |
j |
-97174336898/9272709 |
j-invariant |
L |
5.2520894934228 |
L(r)(E,1)/r! |
Ω |
0.16412779665097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176cb1 7272d1 19392v1 |
Quadratic twists by: -4 8 -3 |