Atkin-Lehner |
2- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109564o |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
41402482576 = 24 · 72 · 134 · 432 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -3 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6526,200521] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:491:1] [-18:559:1] |
Generators of the group modulo torsion |
j |
39211675906816/52809289 |
j-invariant |
L |
12.288449676745 |
L(r)(E,1)/r! |
Ω |
1.1427763111596 |
Real period |
R |
0.44804808389245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109564a1 |
Quadratic twists by: -7 |