Atkin-Lehner |
2- 3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498bo |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-811301924664 = -1 · 23 · 39 · 72 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1001,-41503] |
[a1,a2,a3,a4,a6] |
j |
110917182199823/811301924664 |
j-invariant |
L |
8.0023657199292 |
L(r)(E,1)/r! |
Ω |
0.44457587332917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109494s1 |
Quadratic twists by: -3 |