Atkin-Lehner |
2+ 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550ba |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5114880 |
Modular degree for the optimal curve |
Δ |
6491294208000000000 = 218 · 33 · 59 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3732492,2773758416] |
[a1,a2,a3,a4,a6] |
j |
109050241342156479/123094171648 |
j-invariant |
L |
2.8408345258511 |
L(r)(E,1)/r! |
Ω |
0.23673626143679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550dv1 116550dm1 |
Quadratic twists by: -3 5 |