Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024bk |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
81216 = 26 · 33 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 5 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
2515456/1269 |
j-invariant |
L |
3.9534546308982 |
L(r)(E,1)/r! |
Ω |
3.0271443889388 |
Real period |
R |
1.3060013408492 |
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 |
9024bp1 4512f1 27072by1 |
Quadratic twists by: -4 8 -3 |