Atkin-Lehner |
2- 3+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670o |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-257840640000 = -1 · 212 · 32 · 54 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1565,-4735] |
[a1,a2,a3,a4,a6] |
Generators |
[5:54:1] |
Generators of the group modulo torsion |
j |
423886312910159/257840640000 |
j-invariant |
L |
7.2461380063016 |
L(r)(E,1)/r! |
Ω |
0.57025354107364 |
Real period |
R |
1.0589058907404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53010g1 88350z1 |
Quadratic twists by: -3 5 |