Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4240b |
Isogeny class |
Conductor |
4240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
27136000 = 212 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2203,-39798] |
[a1,a2,a3,a4,a6] |
j |
288673724529/6625 |
j-invariant |
L |
0.69686159147525 |
L(r)(E,1)/r! |
Ω |
0.69686159147525 |
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 |
265a1 16960r1 38160cg1 21200o1 |
Quadratic twists by: -4 8 -3 5 |