Atkin-Lehner |
3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117249s |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-2.7438361284971E+19 |
Discriminant |
Eigenvalues |
2 3- -2 3 11- 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-323594,-261899137] |
[a1,a2,a3,a4,a6] |
j |
-2115291988652032/15488239628763 |
j-invariant |
L |
5.6705301877081 |
L(r)(E,1)/r! |
Ω |
0.088602039269699 |
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 |
10659m1 |
Quadratic twists by: -11 |