Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020g |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-256149813233520 = -1 · 24 · 33 · 5 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 5 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103173,12778713] |
[a1,a2,a3,a4,a6] |
j |
-2370816/5 |
j-invariant |
L |
2.2163477502555 |
L(r)(E,1)/r! |
Ω |
0.55408693773573 |
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 |
52020n1 52020m1 |
Quadratic twists by: -3 17 |