Atkin-Lehner |
5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55055i |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
2839956259765625 = 510 · 75 · 113 · 13 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 11+ 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38612,-1414189] |
[a1,a2,a3,a4,a6] |
j |
4783327575194771/2133701171875 |
j-invariant |
L |
1.7750375525575 |
L(r)(E,1)/r! |
Ω |
0.35500751104704 |
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 |
55055p1 |
Quadratic twists by: -11 |