Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480cw |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
127733760 = 212 · 34 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,660] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:24:1] |
Generators of the group modulo torsion |
j |
148035889/31185 |
j-invariant |
L |
6.0459794704103 |
L(r)(E,1)/r! |
Ω |
1.7526013516187 |
Real period |
R |
0.86242936319005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1155a1 73920fs1 55440eq1 92400dv1 |
Quadratic twists by: -4 8 -3 5 |