Atkin-Lehner |
2- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264t |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-179856050487296 = -1 · 234 · 192 · 29 |
Discriminant |
Eigenvalues |
2- -1 1 0 3 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23105,-1490207] |
[a1,a2,a3,a4,a6] |
j |
-5203798902289/686096384 |
j-invariant |
L |
1.5376279602958 |
L(r)(E,1)/r! |
Ω |
0.19220349503622 |
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 |
35264i1 8816i1 |
Quadratic twists by: -4 8 |