Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3468b |
Isogeny class |
Conductor |
3468 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-66394031590128384 = -1 · 28 · 37 · 179 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 3 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13101,12414969] |
[a1,a2,a3,a4,a6] |
j |
-8192/2187 |
j-invariant |
L |
1.7005831672362 |
L(r)(E,1)/r! |
Ω |
0.28343052787271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13872bh1 55488bg1 10404i1 86700bk1 |
Quadratic twists by: -4 8 -3 5 |