Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818o |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
3008565504 = 28 · 36 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5034,135351] |
[a1,a2,a3,a4,a6] |
Generators |
[43:5:1] |
Generators of the group modulo torsion |
j |
41131506620359/8771328 |
j-invariant |
L |
5.2779173594365 |
L(r)(E,1)/r! |
Ω |
1.3856570256701 |
Real period |
R |
0.4761204668309 |
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 |
110544ee1 41454ba1 13818bi1 |
Quadratic twists by: -4 -3 -7 |