Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024k |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
32100961939776 = 26 · 37 · 475 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 1 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9719,251661] |
[a1,a2,a3,a4,a6] |
j |
1586547827987968/501577530309 |
j-invariant |
L |
3.0407507978881 |
L(r)(E,1)/r! |
Ω |
0.60815015957762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9024q1 4512g1 27072s1 |
Quadratic twists by: -4 8 -3 |