Atkin-Lehner |
2- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288y |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
175284158464 = 222 · 232 · 79 |
Discriminant |
Eigenvalues |
2- -3 1 1 -4 5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14092,-643568] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:16:1] |
Generators of the group modulo torsion |
j |
1180597050009/668656 |
j-invariant |
L |
4.2450509736009 |
L(r)(E,1)/r! |
Ω |
0.43819877551794 |
Real period |
R |
2.42187518873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288k1 29072k1 |
Quadratic twists by: -4 8 |