Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18490j |
Isogeny class |
Conductor |
18490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-37867520 = -1 · 212 · 5 · 432 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 4 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1436,20349] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-7:1] |
Generators of the group modulo torsion |
j |
-177120578761/20480 |
j-invariant |
L |
4.5305499361463 |
L(r)(E,1)/r! |
Ω |
1.9715708840435 |
Real period |
R |
0.19149492978811 |
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 |
92450i1 18490c1 |
Quadratic twists by: 5 -43 |