Atkin-Lehner |
2+ 3+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518c |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
56860296192 = 210 · 33 · 72 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2847,-56627] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:17:1] |
Generators of the group modulo torsion |
j |
94538379328875/2105936896 |
j-invariant |
L |
5.8749899948575 |
L(r)(E,1)/r! |
Ω |
0.65446188834316 |
Real period |
R |
2.2442063160138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999680296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518w1 |
Quadratic twists by: -3 |