Atkin-Lehner |
2+ 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4278j |
Isogeny class |
Conductor |
4278 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
486537618456576 = 216 · 39 · 233 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 3 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5380247,4802980538] |
[a1,a2,a3,a4,a6] |
j |
17223850138378767661426537/486537618456576 |
j-invariant |
L |
2.2993121961534 |
L(r)(E,1)/r! |
Ω |
0.3832186993589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34224s1 12834n1 106950bm1 98394bd1 |
Quadratic twists by: -4 -3 5 -23 |