Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bg |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1053405000000 = 26 · 36 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-433425,109829500] |
[a1,a2,a3,a4,a6] |
Generators |
[371:306:1] |
Generators of the group modulo torsion |
j |
12352022024896/1445 |
j-invariant |
L |
5.6040784422366 |
L(r)(E,1)/r! |
Ω |
0.67723270432311 |
Real period |
R |
1.0343708969564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400do1 13600q1 24480bd1 |
Quadratic twists by: -4 -3 5 |