Atkin-Lehner |
2+ 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370o |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1509609859080480 = 25 · 314 · 5 · 19 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 3 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83565,9128965] |
[a1,a2,a3,a4,a6] |
j |
88526309511756241/2070795417120 |
j-invariant |
L |
2.8585614067159 |
L(r)(E,1)/r! |
Ω |
0.47642690550569 |
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 |
26790r1 |
Quadratic twists by: -3 |