Atkin-Lehner |
2- 3- 13- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34086h |
Isogeny class |
Conductor |
34086 |
Conductor |
∏ cp |
2048 |
Product of Tamagawa factors cp |
deg |
2310144 |
Modular degree for the optimal curve |
Δ |
-6.6824904404594E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3170986,-3277701852] |
[a1,a2,a3,a4,a6] |
j |
3526197858860971930874783/6682490440459430658048 |
j-invariant |
L |
2.2300990034193 |
L(r)(E,1)/r! |
Ω |
0.069690593856955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
102258m1 |
Quadratic twists by: -3 |