Atkin-Lehner |
5+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116725h |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38592 |
Modular degree for the optimal curve |
Δ |
-131549075 = -1 · 52 · 73 · 232 · 29 |
Discriminant |
Eigenvalues |
2 1 5+ 7- 0 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-138,-881] |
[a1,a2,a3,a4,a6] |
j |
-11710197760/5261963 |
j-invariant |
L |
4.0874667109458 |
L(r)(E,1)/r! |
Ω |
0.68124459880412 |
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 |
116725o1 |
Quadratic twists by: 5 |