Atkin-Lehner |
3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595u |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
121605910656975 = 316 · 52 · 173 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5423724,4863127005] |
[a1,a2,a3,a4,a6] |
Generators |
[10638:2331:8] |
Generators of the group modulo torsion |
j |
24204101895346602333889/166811948775 |
j-invariant |
L |
5.3410753973973 |
L(r)(E,1)/r! |
Ω |
0.40465958880742 |
Real period |
R |
2.1998224125196 |
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 |
5865c2 87975o2 |
Quadratic twists by: -3 5 |