Atkin-Lehner |
5+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84175c |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
20447258330078125 = 510 · 76 · 13 · 372 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ -6 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-77708,4684369] |
[a1,a2,a3,a4,a6] |
j |
5314059980800/2093799253 |
j-invariant |
L |
1.3970153563748 |
L(r)(E,1)/r! |
Ω |
0.3492538768746 |
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 |
84175k1 |
Quadratic twists by: 5 |