Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608dm |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
350896128 = 214 · 3 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,-177] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:532:27] |
Generators of the group modulo torsion |
j |
37642192/21417 |
j-invariant |
L |
12.359596156475 |
L(r)(E,1)/r! |
Ω |
1.4140106599949 |
Real period |
R |
4.3704041593845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608a1 31152a1 |
Quadratic twists by: -4 8 |