Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
29524j |
Isogeny class |
Conductor |
29524 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
-204193125427456 = -1 · 28 · 118 · 612 |
Discriminant |
Eigenvalues |
2- 2 1 -2 11- 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31500,-2248552] |
[a1,a2,a3,a4,a6] |
j |
-62992336/3721 |
j-invariant |
L |
3.2142418663449 |
L(r)(E,1)/r! |
Ω |
0.17856899257471 |
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 |
118096bj1 29524h1 |
Quadratic twists by: -4 -11 |