Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117v |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8805888 |
Modular degree for the optimal curve |
Δ |
-3.1636307627948E+21 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2862015,1962182992] |
[a1,a2,a3,a4,a6] |
j |
736803680768000/899079608427 |
j-invariant |
L |
0.37996875633844 |
L(r)(E,1)/r! |
Ω |
0.094992376877322 |
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 |
39039k1 9009m1 |
Quadratic twists by: -3 13 |