Atkin-Lehner |
3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
93075l |
Isogeny class |
Conductor |
93075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-115506075 = -1 · 3 · 52 · 172 · 732 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-898,-10676] |
[a1,a2,a3,a4,a6] |
j |
-3206979973120/4620243 |
j-invariant |
L |
1.743944543002 |
L(r)(E,1)/r! |
Ω |
0.43598613034619 |
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 |
93075j1 |
Quadratic twists by: 5 |