Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10830bd |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-16475843893248000 = -1 · 214 · 32 · 53 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28346,6440676] |
[a1,a2,a3,a4,a6] |
j |
-53540005609/350208000 |
j-invariant |
L |
4.7150865947714 |
L(r)(E,1)/r! |
Ω |
0.33679189962653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640ca1 32490y1 54150g1 570b1 |
Quadratic twists by: -4 -3 5 -19 |