Atkin-Lehner |
2- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88084c |
Isogeny class |
Conductor |
88084 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
-734668477696 = -1 · 28 · 196 · 61 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 -1 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,361,-41154] |
[a1,a2,a3,a4,a6] |
j |
432/61 |
j-invariant |
L |
0.85204369969189 |
L(r)(E,1)/r! |
Ω |
0.42602180086656 |
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 |
244a1 |
Quadratic twists by: -19 |