Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3312f |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-17169408 = -1 · 210 · 36 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 6 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,162] |
[a1,a2,a3,a4,a6] |
Generators |
[3:18:1] |
Generators of the group modulo torsion |
j |
13500/23 |
j-invariant |
L |
3.2294345511223 |
L(r)(E,1)/r! |
Ω |
1.4999268962896 |
Real period |
R |
0.53826532464866 |
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 |
1656f1 13248bn1 368a1 82800ba1 |
Quadratic twists by: -4 8 -3 5 |