Atkin-Lehner |
2+ 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690b |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-653072414460 = -1 · 22 · 3 · 5 · 174 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1853,48777] |
[a1,a2,a3,a4,a6] |
Generators |
[19:135:1] |
Generators of the group modulo torsion |
j |
-704232603557209/653072414460 |
j-invariant |
L |
1.772589114738 |
L(r)(E,1)/r! |
Ω |
0.83065506804985 |
Real period |
R |
1.0669826639952 |
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 |
77520ck3 29070bp3 48450bv3 |
Quadratic twists by: -4 -3 5 |