Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3366a |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
250289028 = 22 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-312,2060] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
170953875/12716 |
j-invariant |
L |
2.9196389806707 |
L(r)(E,1)/r! |
Ω |
1.7159235313207 |
Real period |
R |
0.85074856990382 |
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 |
26928z1 107712l1 3366l1 84150ec1 |
Quadratic twists by: -4 8 -3 5 |