Atkin-Lehner |
2- 3- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
92430bg |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
60928 |
Modular degree for the optimal curve |
Δ |
7187356800 = 27 · 37 · 52 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-608,4227] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:33:1] [5:-39:1] |
Generators of the group modulo torsion |
j |
34043726521/9859200 |
j-invariant |
L |
15.073954667727 |
L(r)(E,1)/r! |
Ω |
1.2318732221851 |
Real period |
R |
0.21851092878122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30810k1 |
Quadratic twists by: -3 |