Atkin-Lehner |
3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55575g |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-2962599046875 = -1 · 310 · 56 · 132 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1200,-84344] |
[a1,a2,a3,a4,a6] |
j |
-16777216/260091 |
j-invariant |
L |
1.3760664464762 |
L(r)(E,1)/r! |
Ω |
0.34401661148676 |
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 |
18525a1 2223d1 |
Quadratic twists by: -3 5 |