Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
53404i |
Isogeny class |
Conductor |
53404 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84240 |
Modular degree for the optimal curve |
Δ |
97617385216 = 28 · 136 · 79 |
Discriminant |
Eigenvalues |
2- -3 -1 -1 6 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1183,-4394] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:64:1] |
Generators of the group modulo torsion |
j |
148176/79 |
j-invariant |
L |
3.2630175905979 |
L(r)(E,1)/r! |
Ω |
0.8652095096615 |
Real period |
R |
3.7713612185507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
316b1 |
Quadratic twists by: 13 |