Atkin-Lehner |
2+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18544a |
Isogeny class |
Conductor |
18544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-22549504 = -1 · 210 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 2 3 1 -3 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-664,6816] |
[a1,a2,a3,a4,a6] |
Generators |
[30:114:1] |
Generators of the group modulo torsion |
j |
-31665174628/22021 |
j-invariant |
L |
8.6551002452131 |
L(r)(E,1)/r! |
Ω |
2.1220630388038 |
Real period |
R |
1.0196563540935 |
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 |
9272c1 74176t1 |
Quadratic twists by: -4 8 |