Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712ce |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2222914011136 = -1 · 228 · 72 · 132 |
Discriminant |
Eigenvalues |
2- -2 1 7+ -2 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1855,-64193] |
[a1,a2,a3,a4,a6] |
j |
15925559/50176 |
j-invariant |
L |
1.6804567820015 |
L(r)(E,1)/r! |
Ω |
0.42011419634107 |
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 |
75712bf1 18928o1 75712cz1 |
Quadratic twists by: -4 8 13 |