Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17328p |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-142228224 = -1 · 28 · 34 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -1 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,729] |
[a1,a2,a3,a4,a6] |
Generators |
[5:18:1] [13:38:1] |
Generators of the group modulo torsion |
j |
-65536/81 |
j-invariant |
L |
5.7628741760339 |
L(r)(E,1)/r! |
Ω |
1.6613500110033 |
Real period |
R |
0.43359874032157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4332b1 69312cz1 51984cb1 17328bb1 |
Quadratic twists by: -4 8 -3 -19 |