Atkin-Lehner |
19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
70699a |
Isogeny class |
Conductor |
70699 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-353378247742099 = -1 · 193 · 616 |
Discriminant |
Eigenvalues |
0 -2 3 1 -3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-34729,-2661790] |
[a1,a2,a3,a4,a6] |
j |
-89915392/6859 |
j-invariant |
L |
0.5222981659808 |
L(r)(E,1)/r! |
Ω |
0.17409939373423 |
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 |
19a1 |
Quadratic twists by: 61 |