Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230v |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-434431142220582000 = -1 · 24 · 38 · 53 · 136 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,81666,-30433212] |
[a1,a2,a3,a4,a6] |
Generators |
[264:2946:1] |
Generators of the group modulo torsion |
j |
82626060291589151/595927492758000 |
j-invariant |
L |
3.459488587219 |
L(r)(E,1)/r! |
Ω |
0.14815600756597 |
Real period |
R |
1.9458591004027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7410u3 111150em3 |
Quadratic twists by: -3 5 |