Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200v |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
2203318222848000000 = 238 · 33 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-563233,-145997663] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/537919488 |
j-invariant |
L |
3.1596247225037 |
L(r)(E,1)/r! |
Ω |
0.17553471022559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200hm1 2850j1 3648r1 |
Quadratic twists by: -4 8 5 |