Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86632f |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-111869237811968 = -1 · 28 · 711 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- -3 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9196,-382220] |
[a1,a2,a3,a4,a6] |
Generators |
[446:9604:1] |
Generators of the group modulo torsion |
j |
2855256752/3714347 |
j-invariant |
L |
2.8858950889745 |
L(r)(E,1)/r! |
Ω |
0.31646989655567 |
Real period |
R |
1.1398774119921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376a1 |
Quadratic twists by: -7 |