Atkin-Lehner |
3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74415g |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.0069341106626E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36365040,-84145678770] |
[a1,a2,a3,a4,a6] |
j |
3002063061132672197401/11328619848046875 |
j-invariant |
L |
1.9677824179977 |
L(r)(E,1)/r! |
Ω |
0.061493201542837 |
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 |
6765c3 |
Quadratic twists by: -11 |