Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cu |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-10002005154375000 = -1 · 23 · 3 · 57 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -5 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-407496,100204440] |
[a1,a2,a3,a4,a6] |
j |
-310027558782241/414375000 |
j-invariant |
L |
4.8810950244455 |
L(r)(E,1)/r! |
Ω |
0.40675797517895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630u1 |
Quadratic twists by: 17 |