Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680bp |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
451630080 = 210 · 36 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-56] |
[a1,a2,a3,a4,a6] |
j |
1048576/605 |
j-invariant |
L |
2.7978231448475 |
L(r)(E,1)/r! |
Ω |
1.398911572424 |
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 |
31680dd1 1980a1 3520c1 |
Quadratic twists by: -4 8 -3 |