Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376z |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-398475264 = -1 · 214 · 3 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,176,404] |
[a1,a2,a3,a4,a6] |
j |
146363183/97284 |
j-invariant |
L |
4.2321663201981 |
L(r)(E,1)/r! |
Ω |
1.0580415800465 |
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 |
4422m1 106128cb1 |
Quadratic twists by: -4 -3 |