Atkin-Lehner |
2- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272r |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-3543971393437696 = -1 · 226 · 134 · 432 |
Discriminant |
Eigenvalues |
2- -2 1 -2 0 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,37800,-437228] |
[a1,a2,a3,a4,a6] |
Generators |
[247:4902:1] |
Generators of the group modulo torsion |
j |
51056879159/30294016 |
j-invariant |
L |
4.1962226769607 |
L(r)(E,1)/r! |
Ω |
0.25995077469087 |
Real period |
R |
4.0355935692148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999483849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14534a1 116272s1 |
Quadratic twists by: -4 13 |