Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440z |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9289728 |
Modular degree for the optimal curve |
Δ |
-2.8194594601956E+24 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -3 -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32923525,-108701353565] |
[a1,a2,a3,a4,a6] |
j |
-240892216689399984415744/172086148693581998435 |
j-invariant |
L |
2.994219861121 |
L(r)(E,1)/r! |
Ω |
0.030553264131356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440du1 8680a1 |
Quadratic twists by: -4 8 |