Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bn |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1858484515700736 = 216 · 314 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86124,9504560] |
[a1,a2,a3,a4,a6] |
Generators |
[212:880:1] |
Generators of the group modulo torsion |
j |
1478729816932/38900169 |
j-invariant |
L |
6.162421728474 |
L(r)(E,1)/r! |
Ω |
0.46761713577873 |
Real period |
R |
3.2945872044459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44352em2 5544e2 14784e2 |
Quadratic twists by: -4 8 -3 |