Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1452b |
Isogeny class |
Conductor |
1452 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-278784 = -1 · 28 · 32 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 11- 3 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,24] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
176/9 |
j-invariant |
L |
2.2264157516738 |
L(r)(E,1)/r! |
Ω |
2.3468744944922 |
Real period |
R |
0.15811211584449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5808ba1 23232bt1 4356e1 36300bl1 |
Quadratic twists by: -4 8 -3 5 |