Atkin-Lehner |
5+ 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
97825j |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-10699609375 = -1 · 58 · 72 · 13 · 43 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-4977] |
[a1,a2,a3,a4,a6] |
j |
-1/684775 |
j-invariant |
L |
1.1753264018166 |
L(r)(E,1)/r! |
Ω |
0.58766318479409 |
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 |
19565f1 |
Quadratic twists by: 5 |