Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33212g |
Isogeny class |
Conductor |
33212 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42768 |
Modular degree for the optimal curve |
Δ |
-17312884208 = -1 · 24 · 196 · 23 |
Discriminant |
Eigenvalues |
2- 3 -2 -4 2 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-361,-6859] |
[a1,a2,a3,a4,a6] |
j |
-6912/23 |
j-invariant |
L |
4.0314456996255 |
L(r)(E,1)/r! |
Ω |
0.50393071245138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92b1 |
Quadratic twists by: -19 |