Atkin-Lehner |
5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81685c |
Isogeny class |
Conductor |
81685 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
-2.0754914352828E+21 |
Discriminant |
Eigenvalues |
1 -2 5+ 5 5 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7114784,-7626872259] |
[a1,a2,a3,a4,a6] |
j |
-44878529736708409/2338572199435 |
j-invariant |
L |
2.9491302834343 |
L(r)(E,1)/r! |
Ω |
0.046080161158191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2635c1 |
Quadratic twists by: -31 |