Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3312l |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-618098688 = -1 · 212 · 38 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-1222] |
[a1,a2,a3,a4,a6] |
Generators |
[31:162:1] |
Generators of the group modulo torsion |
j |
-15625/207 |
j-invariant |
L |
3.6368905325341 |
L(r)(E,1)/r! |
Ω |
0.69451307578497 |
Real period |
R |
1.3091512094368 |
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 |
207a1 13248bb1 1104f1 82800eh1 |
Quadratic twists by: -4 8 -3 5 |