Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350cg |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-20566766700 = -1 · 22 · 314 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114620,14964747] |
[a1,a2,a3,a4,a6] |
j |
-9137635610327905/1128492 |
j-invariant |
L |
3.7686105264429 |
L(r)(E,1)/r! |
Ω |
0.94215263161073 |
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 |
6450d1 19350bf1 |
Quadratic twists by: -3 5 |