Atkin-Lehner |
2- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
111800n |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-2388887198750000 = -1 · 24 · 57 · 13 · 435 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -6 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-872383,313923512] |
[a1,a2,a3,a4,a6] |
Generators |
[-1003:13375:1] [-23:18275:1] |
Generators of the group modulo torsion |
j |
-293701242055899136/9555548795 |
j-invariant |
L |
8.2964250677751 |
L(r)(E,1)/r! |
Ω |
0.42865100009584 |
Real period |
R |
0.48386829072362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22360a1 |
Quadratic twists by: 5 |