Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550ct |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-341085937500 = -1 · 22 · 34 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1737,-3483] |
[a1,a2,a3,a4,a6] |
j |
296740963/174636 |
j-invariant |
L |
4.5113301786501 |
L(r)(E,1)/r! |
Ω |
0.56391627233126 |
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 |
92400ex1 34650bz1 11550m1 80850ff1 |
Quadratic twists by: -4 -3 5 -7 |