Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
34400bn |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-369800000000 = -1 · 29 · 58 · 432 |
Discriminant |
Eigenvalues |
2- 1 5- -4 3 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92208,-10807912] |
[a1,a2,a3,a4,a6] |
j |
-433515103880/1849 |
j-invariant |
L |
2.1917796356369 |
L(r)(E,1)/r! |
Ω |
0.13698622722715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400m1 68800bu1 34400a1 |
Quadratic twists by: -4 8 5 |