Atkin-Lehner |
2- 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
86900g |
Isogeny class |
Conductor |
86900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
27156250000 = 24 · 59 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-925,-7375] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:325:27] |
Generators of the group modulo torsion |
j |
350113536/108625 |
j-invariant |
L |
13.708244951815 |
L(r)(E,1)/r! |
Ω |
0.88670308370215 |
Real period |
R |
3.8649479158554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17380f1 |
Quadratic twists by: 5 |