Atkin-Lehner |
3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595u |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-11309750039775735 = -1 · 311 · 5 · 176 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-338769,76150368] |
[a1,a2,a3,a4,a6] |
Generators |
[144:5436:1] |
Generators of the group modulo torsion |
j |
-5898042414700654609/15514060411215 |
j-invariant |
L |
5.3410753973973 |
L(r)(E,1)/r! |
Ω |
0.40465958880742 |
Real period |
R |
1.0999112062598 |
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 |
5865c1 87975o1 |
Quadratic twists by: -3 5 |