Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11328p |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-17817403392 = -1 · 225 · 32 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 4 1 -3 1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-321,-6687] |
[a1,a2,a3,a4,a6] |
Generators |
[27:60:1] |
Generators of the group modulo torsion |
j |
-13997521/67968 |
j-invariant |
L |
5.016432981344 |
L(r)(E,1)/r! |
Ω |
0.50973493423826 |
Real period |
R |
2.4603144911191 |
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 |
11328e1 2832c1 33984bp1 |
Quadratic twists by: -4 8 -3 |