Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bz |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
4440000 |
Modular degree for the optimal curve |
Δ |
-6.8724460292076E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4836613,-4285609357] |
[a1,a2,a3,a4,a6] |
j |
-122193431714654556160/6711373075398003 |
j-invariant |
L |
2.5369992823497 |
L(r)(E,1)/r! |
Ω |
0.050739984452376 |
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 |
6675f1 106800bp1 |
Quadratic twists by: -4 5 |