Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600i |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-131010048000 = -1 · 212 · 39 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1080,-10800] |
[a1,a2,a3,a4,a6] |
j |
13824/13 |
j-invariant |
L |
4.5501601166355 |
L(r)(E,1)/r! |
Ω |
0.56877001163938 |
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 |
93600db1 93600cz1 93600dg1 |
Quadratic twists by: -4 -3 5 |