Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595l |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
106889625 = 37 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27495,1761696] |
[a1,a2,a3,a4,a6] |
Generators |
[569616:2922207:4096] |
Generators of the group modulo torsion |
j |
3153306897252721/146625 |
j-invariant |
L |
6.0946758780464 |
L(r)(E,1)/r! |
Ω |
1.4038770196758 |
Real period |
R |
8.6826350066674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5865h1 87975ba1 |
Quadratic twists by: -3 5 |