Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248n |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
75240404418424336 = 24 · 78 · 138 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 3 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-367124,84717697] |
[a1,a2,a3,a4,a6] |
j |
12291328/169 |
j-invariant |
L |
2.7642172907075 |
L(r)(E,1)/r! |
Ω |
0.34552716186026 |
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 |
66248u1 5096b1 |
Quadratic twists by: -7 13 |