Atkin-Lehner |
2- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23180b |
Isogeny class |
Conductor |
23180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
38793955280 = 24 · 5 · 194 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6081,-184316] |
[a1,a2,a3,a4,a6] |
j |
1554533752520704/2424622205 |
j-invariant |
L |
0.54068028627035 |
L(r)(E,1)/r! |
Ω |
0.54068028627026 |
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 |
92720t1 115900b1 |
Quadratic twists by: -4 5 |