Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072cx |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5635805184 = 212 · 32 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-569,3591] |
[a1,a2,a3,a4,a6] |
j |
4982686912/1375929 |
j-invariant |
L |
2.521232328296 |
L(r)(E,1)/r! |
Ω |
1.2606161659855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75072ca2 37536p1 |
Quadratic twists by: -4 8 |