Atkin-Lehner |
5- 7- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117845n |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
512980816985 = 5 · 78 · 13 · 372 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4297,103856] |
[a1,a2,a3,a4,a6] |
j |
74565301329/4360265 |
j-invariant |
L |
1.8276641580892 |
L(r)(E,1)/r! |
Ω |
0.91383226492085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16835b1 |
Quadratic twists by: -7 |