Atkin-Lehner |
5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87725i |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-27594138623046875 = -1 · 511 · 117 · 29 |
Discriminant |
Eigenvalues |
-2 -1 5+ 4 11- 5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-49408,9057718] |
[a1,a2,a3,a4,a6] |
j |
-481890304/996875 |
j-invariant |
L |
1.3326576101812 |
L(r)(E,1)/r! |
Ω |
0.3331644042284 |
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 |
17545d1 7975a1 |
Quadratic twists by: 5 -11 |