Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bb |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-66271275891228672 = -1 · 216 · 39 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-766395,258538986] |
[a1,a2,a3,a4,a6] |
j |
-617490755098875/822004304 |
j-invariant |
L |
4.1693114723269 |
L(r)(E,1)/r! |
Ω |
0.34744262270743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5742q3 45936v1 |
Quadratic twists by: -4 -3 |