Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4950bi |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1443420000000 = -1 · 28 · 38 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1120,-56253] |
[a1,a2,a3,a4,a6] |
j |
13651919/126720 |
j-invariant |
L |
3.3687030188503 |
L(r)(E,1)/r! |
Ω |
0.42108787735628 |
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 |
39600cx1 1650a1 990e1 54450bn1 |
Quadratic twists by: -4 -3 5 -11 |