Atkin-Lehner |
2+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450d |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-314856464000000000 = -1 · 213 · 59 · 135 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -2 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3139775,2140253125] |
[a1,a2,a3,a4,a6] |
j |
-219078361234273767409/20150813696000 |
j-invariant |
L |
1.1698089172481 |
L(r)(E,1)/r! |
Ω |
0.29245222930966 |
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 |
6890l1 |
Quadratic twists by: 5 |