Atkin-Lehner |
2- 5- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17170m |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-114724445600 = -1 · 25 · 52 · 175 · 101 |
Discriminant |
Eigenvalues |
2- -1 5- 2 3 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9315,-350303] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1366:1] |
Generators of the group modulo torsion |
j |
-89387173302352561/114724445600 |
j-invariant |
L |
7.324289534036 |
L(r)(E,1)/r! |
Ω |
0.24296302419063 |
Real period |
R |
0.60291392556008 |
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 |
85850f1 |
Quadratic twists by: 5 |