Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12152b |
Isogeny class |
Conductor |
12152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
675067904 = 211 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371,-2450] |
[a1,a2,a3,a4,a6] |
Generators |
[22:6:1] |
Generators of the group modulo torsion |
j |
8039358/961 |
j-invariant |
L |
3.8281327322147 |
L(r)(E,1)/r! |
Ω |
1.0963208779364 |
Real period |
R |
3.4917995353881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24304a2 97216q2 109368bz2 12152a2 |
Quadratic twists by: -4 8 -3 -7 |