Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68952o |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
189056454912 = 28 · 32 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8844,316512] |
[a1,a2,a3,a4,a6] |
Generators |
[264:4056:1] |
Generators of the group modulo torsion |
j |
61918288/153 |
j-invariant |
L |
7.0223347532836 |
L(r)(E,1)/r! |
Ω |
1.0116075887887 |
Real period |
R |
1.7354394209278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
408b1 |
Quadratic twists by: 13 |