Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420r |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
240240 |
Modular degree for the optimal curve |
Δ |
-5269189313520 = -1 · 24 · 37 · 5 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3590,-74303] |
[a1,a2,a3,a4,a6] |
j |
180472064/185895 |
j-invariant |
L |
1.2448819473066 |
L(r)(E,1)/r! |
Ω |
0.41496071177233 |
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 |
1020d1 |
Quadratic twists by: -11 |