Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18612a |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
2456784 = 24 · 33 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
11943936/5687 |
j-invariant |
L |
4.2689428235599 |
L(r)(E,1)/r! |
Ω |
2.0426411921877 |
Real period |
R |
2.0899132162256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448s1 18612b1 |
Quadratic twists by: -4 -3 |