Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20184n |
Isogeny class |
Conductor |
20184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-105983240042496 = -1 · 211 · 3 · 297 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 2 4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6448,-455604] |
[a1,a2,a3,a4,a6] |
j |
24334/87 |
j-invariant |
L |
0.60600846901093 |
L(r)(E,1)/r! |
Ω |
0.30300423450547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368p1 60552h1 696b1 |
Quadratic twists by: -4 -3 29 |