Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200cy |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-3070230528000 = -1 · 227 · 3 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 -5 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17528,891348] |
[a1,a2,a3,a4,a6] |
j |
-1163256858413/5996544 |
j-invariant |
L |
3.2161447555855 |
L(r)(E,1)/r! |
Ω |
0.80403619099401 |
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 |
9150f1 73200bz1 |
Quadratic twists by: -4 5 |