Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760k |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
47760815246400000 = 29 · 314 · 55 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1872300243,-31182530376458] |
[a1,a2,a3,a4,a6] |
j |
1944700401357672913286651528/127960003125 |
j-invariant |
L |
0.091805088192023 |
L(r)(E,1)/r! |
Ω |
0.022951214996625 |
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 |
113760n4 37920s4 |
Quadratic twists by: -4 -3 |