Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33212h |
Isogeny class |
Conductor |
33212 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
-814499890216347248 = -1 · 24 · 1912 · 23 |
Discriminant |
Eigenvalues |
2- -3 -2 -4 -4 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1105021,449202769] |
[a1,a2,a3,a4,a6] |
j |
-198241108860672/1082055263 |
j-invariant |
L |
0.56800842374247 |
L(r)(E,1)/r! |
Ω |
0.28400421187239 |
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 |
1748e1 |
Quadratic twists by: -19 |