Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325j |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-494791451171875 = -1 · 59 · 117 · 13 |
Discriminant |
Eigenvalues |
0 2 5+ 2 11- 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16133,-1324082] |
[a1,a2,a3,a4,a6] |
Generators |
[7565804:183994079:12167] |
Generators of the group modulo torsion |
j |
-16777216/17875 |
j-invariant |
L |
7.1692741084639 |
L(r)(E,1)/r! |
Ω |
0.20322689946328 |
Real period |
R |
8.8192977004979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7865d1 3575b1 |
Quadratic twists by: 5 -11 |