Atkin-Lehner |
2- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264s |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-670016 = -1 · 26 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 -3 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152,674] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:38:1] [5:8:1] |
Generators of the group modulo torsion |
j |
-6108415552/10469 |
j-invariant |
L |
8.0418129356165 |
L(r)(E,1)/r! |
Ω |
2.8715083867215 |
Real period |
R |
1.4002767626944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35264bf1 17632d1 |
Quadratic twists by: -4 8 |