Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818m |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
13537394297224608 = 25 · 3 · 1910 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67876,3866114] |
[a1,a2,a3,a4,a6] |
j |
5640625/2208 |
j-invariant |
L |
1.4466786578662 |
L(r)(E,1)/r! |
Ω |
0.36166966459896 |
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 |
49818u1 |
Quadratic twists by: -19 |