Atkin-Lehner |
2+ 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310a |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
54864332273465000 = 23 · 54 · 112 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110615,-8546219] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:2426:1] [1123:35251:1] |
Generators of the group modulo torsion |
j |
149681453444522642889/54864332273465000 |
j-invariant |
L |
5.49127853295 |
L(r)(E,1)/r! |
Ω |
0.26983408841995 |
Real period |
R |
2.5438217262989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121550bm4 |
Quadratic twists by: 5 |