Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dh |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-21138491673763520 = -1 · 26 · 5 · 74 · 317 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 4 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51435,-5346895] |
[a1,a2,a3,a4,a6] |
j |
235131885842333696/330288932402555 |
j-invariant |
L |
2.8491008870839 |
L(r)(E,1)/r! |
Ω |
0.20350720724021 |
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 |
69440bs1 17360t1 |
Quadratic twists by: -4 8 |