Atkin-Lehner |
2+ 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024d |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
9024 = 26 · 3 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 -1 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,-381] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:1:27] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
3.4887255081905 |
L(r)(E,1)/r! |
Ω |
1.4902526992342 |
Real period |
R |
2.3410294844514 |
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 |
9024bs1 141e1 27072ba1 |
Quadratic twists by: -4 8 -3 |