Atkin-Lehner |
2+ 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122g |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
492544 |
Modular degree for the optimal curve |
Δ |
48179994005864448 = 226 · 33 · 72 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-91260,-1012912] |
[a1,a2,a3,a4,a6] |
j |
3113178468776550747/1784444222439424 |
j-invariant |
L |
2.3841690348757 |
L(r)(E,1)/r! |
Ω |
0.29802112936008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31122v1 |
Quadratic twists by: -3 |