Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bs |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-57846150 = -1 · 2 · 37 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203,-1119] |
[a1,a2,a3,a4,a6] |
j |
-2387929/150 |
j-invariant |
L |
2.5214329408615 |
L(r)(E,1)/r! |
Ω |
0.63035823535466 |
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 |
15870e1 47610ce1 |
Quadratic twists by: -3 -23 |