Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18216n |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
105703494690816 = 211 · 36 · 11 · 235 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- -5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12171,-149722] |
[a1,a2,a3,a4,a6] |
Generators |
[-574:4761:8] |
Generators of the group modulo torsion |
j |
133550346386/70799773 |
j-invariant |
L |
6.7327868167109 |
L(r)(E,1)/r! |
Ω |
0.48263716097594 |
Real period |
R |
1.3949996728591 |
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 |
36432h1 2024b1 |
Quadratic twists by: -4 -3 |