Atkin-Lehner |
3+ 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725j |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-665737455075 = -1 · 3 · 52 · 76 · 11 · 193 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1477,-33112] |
[a1,a2,a3,a4,a6] |
Generators |
[28:171:1] |
Generators of the group modulo torsion |
j |
14243972218880/26629498203 |
j-invariant |
L |
3.2167482030008 |
L(r)(E,1)/r! |
Ω |
0.47526739453732 |
Real period |
R |
1.1280485522173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725cj2 |
Quadratic twists by: 5 |