Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680ci |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
-392395185000000000 = -1 · 29 · 36 · 510 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173440,40945400] |
[a1,a2,a3,a4,a6] |
Generators |
[1370:48750:1] |
Generators of the group modulo torsion |
j |
-1126948447816289288/766396845703125 |
j-invariant |
L |
6.6273207360625 |
L(r)(E,1)/r! |
Ω |
0.27691386292088 |
Real period |
R |
0.1329599325412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680k2 87360f2 |
Quadratic twists by: -4 8 |