Atkin-Lehner |
2- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23312p |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-1095664 = -1 · 24 · 31 · 472 |
Discriminant |
Eigenvalues |
2- -2 3 5 0 4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26,3] |
[a1,a2,a3,a4,a6] |
j |
116872448/68479 |
j-invariant |
L |
3.2437296691009 |
L(r)(E,1)/r! |
Ω |
1.6218648345505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5828b1 93248bn1 |
Quadratic twists by: -4 8 |