Atkin-Lehner |
2- 3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bs |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
4866533440636412160 = 28 · 320 · 5 · 73 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-428511,19614213] |
[a1,a2,a3,a4,a6] |
j |
8701812076343745099889/4866533440636412160 |
j-invariant |
L |
1.6837584025104 |
L(r)(E,1)/r! |
Ω |
0.21046980030774 |
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 |
117810bs1 |
Quadratic twists by: -3 |