Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3312i |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1184689152 = 210 · 37 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 0 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-4070] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:18:1] |
Generators of the group modulo torsion |
j |
19307236/1587 |
j-invariant |
L |
2.5885064160059 |
L(r)(E,1)/r! |
Ω |
1.0113709891428 |
Real period |
R |
0.63985086674275 |
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 |
1656g2 13248bq2 1104d2 82800q2 |
Quadratic twists by: -4 8 -3 5 |