Atkin-Lehner |
2+ 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17160b |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35179109222400 = 211 · 37 · 52 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25660856,50041356300] |
[a1,a2,a3,a4,a6] |
j |
912446049969377120252018/17177299425 |
j-invariant |
L |
0.67478888623537 |
L(r)(E,1)/r! |
Ω |
0.33739444311769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320t4 51480bu4 85800cp4 |
Quadratic twists by: -4 -3 5 |