Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520c |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
121512802730240 = 28 · 5 · 377 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82596,-9093760] |
[a1,a2,a3,a4,a6] |
Generators |
[26465395249987553523741:-2300412298730914647801262:3497279492404783701] |
Generators of the group modulo torsion |
j |
94875856/185 |
j-invariant |
L |
9.5220361030036 |
L(r)(E,1)/r! |
Ω |
0.28165031138654 |
Real period |
R |
33.808008487362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54760e1 2960c1 |
Quadratic twists by: -4 37 |