Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600ei |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6199046251200000000 = -1 · 212 · 37 · 58 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456000,17390000] |
[a1,a2,a3,a4,a6] |
j |
8990228480/5314683 |
j-invariant |
L |
3.4854542168088 |
L(r)(E,1)/r! |
Ω |
0.1452272590362 |
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 |
2475k2 13200by2 39600da2 |
Quadratic twists by: -4 -3 5 |