Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175g |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
2818781037109375 = 59 · 137 · 23 |
Discriminant |
Eigenvalues |
1 -1 5+ 1 6 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52900,3903125] |
[a1,a2,a3,a4,a6] |
j |
217081801/37375 |
j-invariant |
L |
3.4559081278506 |
L(r)(E,1)/r! |
Ω |
0.43198853834968 |
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 |
19435b1 7475b1 |
Quadratic twists by: 5 13 |