Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18126k |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
8322825225024 = 26 · 317 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 1 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27842,-1775743] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:103:1] |
Generators of the group modulo torsion |
j |
3274031454654169/11416769856 |
j-invariant |
L |
8.4004467071067 |
L(r)(E,1)/r! |
Ω |
0.3696721489625 |
Real period |
R |
1.8936704524723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042g1 |
Quadratic twists by: -3 |