Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632ba |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
88069889232 = 24 · 32 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -2 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1203,6966] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:153:1] |
Generators of the group modulo torsion |
j |
256000/117 |
j-invariant |
L |
5.6921498755374 |
L(r)(E,1)/r! |
Ω |
0.9635127568863 |
Real period |
R |
2.9538528831271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312b1 |
Quadratic twists by: -19 |