Atkin-Lehner |
5- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275q |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-394694570388671875 = -1 · 59 · 75 · 17 · 294 |
Discriminant |
Eigenvalues |
2 0 5- 7+ -4 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13566125,19232350781] |
[a1,a2,a3,a4,a6] |
Generators |
[16050:76121:8] [16978:2983:8] |
Generators of the group modulo torsion |
j |
-141371255939223564288/202083620039 |
j-invariant |
L |
19.19076374013 |
L(r)(E,1)/r! |
Ω |
0.25498280658947 |
Real period |
R |
9.40787145467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86275v1 |
Quadratic twists by: 5 |