Atkin-Lehner |
2+ 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34038c |
Isogeny class |
Conductor |
34038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-18375142653886464 = -1 · 216 · 314 · 312 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 5 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80685,-10950363] |
[a1,a2,a3,a4,a6] |
j |
-79685191655966161/25205957001216 |
j-invariant |
L |
1.1150651619758 |
L(r)(E,1)/r! |
Ω |
0.13938314524811 |
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 |
11346f1 |
Quadratic twists by: -3 |