Atkin-Lehner |
2+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306r |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-9415435652 = -1 · 22 · 72 · 17 · 414 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -3 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,194,-4600] |
[a1,a2,a3,a4,a6] |
j |
16431340023/192151748 |
j-invariant |
L |
5.0952616175584 |
L(r)(E,1)/r! |
Ω |
0.63690769964664 |
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 |
68306a1 |
Quadratic twists by: -7 |