Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720bm |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
995844326400 = 210 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2883,-35282] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:144:1] |
Generators of the group modulo torsion |
j |
3550014724/1334025 |
j-invariant |
L |
5.0841438093237 |
L(r)(E,1)/r! |
Ω |
0.67233286445915 |
Real period |
R |
1.8904861260254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440j2 9240p2 |
Quadratic twists by: -4 -3 |