Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818g |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
17908128 = 25 · 35 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-166,-808] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:8:1] |
Generators of the group modulo torsion |
j |
10234947625/365472 |
j-invariant |
L |
4.1756303117349 |
L(r)(E,1)/r! |
Ω |
1.3339471968835 |
Real period |
R |
0.62605631189755 |
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 |
110544cg1 41454bu1 13818a1 |
Quadratic twists by: -4 -3 -7 |