Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595n |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40083609375 = 38 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18698,988706] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1132:1] |
Generators of the group modulo torsion |
j |
991653330582361/54984375 |
j-invariant |
L |
2.7993997318915 |
L(r)(E,1)/r! |
Ω |
1.0856585688683 |
Real period |
R |
1.2892634075599 |
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 |
5865f2 87975v2 |
Quadratic twists by: -3 5 |