Atkin-Lehner |
2- 3+ 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
23790n |
Isogeny class |
Conductor |
23790 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-4817475000 = -1 · 23 · 35 · 55 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 5 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5820,-173355] |
[a1,a2,a3,a4,a6] |
j |
-21802049928722881/4817475000 |
j-invariant |
L |
4.0994342594826 |
L(r)(E,1)/r! |
Ω |
0.27329561729884 |
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 |
71370e1 118950ba1 |
Quadratic twists by: -3 5 |