Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320bp |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-6.8447363025243E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3171612,2512149284] |
[a1,a2,a3,a4,a6] |
j |
-18905857301773210624/3667661341801875 |
j-invariant |
L |
2.4737472172123 |
L(r)(E,1)/r! |
Ω |
0.15460920148253 |
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 |
22440c1 |
Quadratic twists by: -3 |