Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600bf |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-227448000000000 = -1 · 212 · 37 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 1 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4200,-718000] |
[a1,a2,a3,a4,a6] |
j |
175616/4875 |
j-invariant |
L |
4.3192736234272 |
L(r)(E,1)/r! |
Ω |
0.26995461648402 |
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 |
93600bg1 31200bi1 18720bt1 |
Quadratic twists by: -4 -3 5 |