Atkin-Lehner |
2+ 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280p |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
26050781250000 = 24 · 33 · 512 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7431,19800] |
[a1,a2,a3,a4,a6] |
j |
2836638256175104/1628173828125 |
j-invariant |
L |
3.4313187019592 |
L(r)(E,1)/r! |
Ω |
0.57188645086372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640n1 |
Quadratic twists by: -4 |