Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048o |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-17019072 = -1 · 26 · 34 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 0 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,567] |
[a1,a2,a3,a4,a6] |
Generators |
[18:63:1] |
Generators of the group modulo torsion |
j |
-2791309312/265923 |
j-invariant |
L |
7.3100349183562 |
L(r)(E,1)/r! |
Ω |
2.1414255987758 |
Real period |
R |
0.85340752884218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90048bn1 1407d1 |
Quadratic twists by: -4 8 |