Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304bx |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8044915752566784 = -1 · 217 · 32 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40703,2924545] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1520:1] |
Generators of the group modulo torsion |
j |
1409938/1521 |
j-invariant |
L |
7.8989379042026 |
L(r)(E,1)/r! |
Ω |
0.27525276550627 |
Real period |
R |
3.5871292099717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ii2 15288be2 122304dl2 |
Quadratic twists by: -4 8 -7 |