Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17340l |
Isogeny class |
Conductor |
17340 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1538770023750000 = -1 · 24 · 3 · 57 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-355566,81510609] |
[a1,a2,a3,a4,a6] |
Generators |
[317:867:1] |
Generators of the group modulo torsion |
j |
-12872772702976/3984375 |
j-invariant |
L |
5.9994099414721 |
L(r)(E,1)/r! |
Ω |
0.46637891257149 |
Real period |
R |
2.1439684127201 |
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 |
69360ch1 52020be1 86700i1 1020c1 |
Quadratic twists by: -4 -3 5 17 |