Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936q |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1660631448037275648 = -1 · 211 · 326 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54651,62195146] |
[a1,a2,a3,a4,a6] |
j |
-12090954048626/1112284223919 |
j-invariant |
L |
1.7518744174589 |
L(r)(E,1)/r! |
Ω |
0.2189843021453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968r3 15312f4 |
Quadratic twists by: -4 -3 |