Atkin-Lehner |
2+ 3- 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650bo |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
45954000 = 24 · 33 · 53 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 -5 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-186,-932] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-3:1] [-8:11:1] |
Generators of the group modulo torsion |
j |
5649262541/367632 |
j-invariant |
L |
10.228887899122 |
L(r)(E,1)/r! |
Ω |
1.298887802357 |
Real period |
R |
0.65625939688201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999989848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650co1 |
Quadratic twists by: 5 |