Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298bd |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-614344087830528 = -1 · 221 · 310 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79173,8676949] |
[a1,a2,a3,a4,a6] |
j |
-622221771892633/6964641792 |
j-invariant |
L |
1.0328638108795 |
L(r)(E,1)/r! |
Ω |
0.51643196282482 |
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 |
29766bb1 89298cd1 |
Quadratic twists by: -3 -11 |