Atkin-Lehner |
2- 5- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17170o |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-219776000000 = -1 · 213 · 56 · 17 · 101 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -5 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35440,2553297] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-219:1] |
Generators of the group modulo torsion |
j |
-4922725480277794561/219776000000 |
j-invariant |
L |
5.5079895422733 |
L(r)(E,1)/r! |
Ω |
0.93726462610414 |
Real period |
R |
0.075341849649748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85850e1 |
Quadratic twists by: 5 |