Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600cd |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-26655505920000 = -1 · 212 · 39 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 6 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7467,-8163] |
[a1,a2,a3,a4,a6] |
j |
17983078400/10412307 |
j-invariant |
L |
2.3861642164711 |
L(r)(E,1)/r! |
Ω |
0.39769403607868 |
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 |
1725q1 110400jm1 82800fd1 27600cl1 |
Quadratic twists by: -4 8 -3 5 |