Atkin-Lehner |
2- 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104t |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3144167424 = -1 · 212 · 32 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 3- -1 3 5 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,2691] |
[a1,a2,a3,a4,a6] |
j |
-262144/767619 |
j-invariant |
L |
4.5606060063694 |
L(r)(E,1)/r! |
Ω |
1.1401515013862 |
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 |
3819b1 |
Quadratic twists by: -4 |