Atkin-Lehner |
3+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725a |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
211700671875 = 33 · 56 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-752425,-251527250] |
[a1,a2,a3,a4,a6] |
Generators |
[84190:8564755:8] |
Generators of the group modulo torsion |
j |
3015048057243061393/13548843 |
j-invariant |
L |
4.6288469435578 |
L(r)(E,1)/r! |
Ω |
0.16210024655185 |
Real period |
R |
7.1388646888901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000335983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389f3 |
Quadratic twists by: 5 |