Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3312f |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
789792768 = 211 · 36 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 6 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315,1674] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:46:1] |
Generators of the group modulo torsion |
j |
2315250/529 |
j-invariant |
L |
3.2294345511223 |
L(r)(E,1)/r! |
Ω |
1.4999268962896 |
Real period |
R |
1.0765306492973 |
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 |
1656f2 13248bn2 368a2 82800ba2 |
Quadratic twists by: -4 8 -3 5 |