Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818bh |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-22473315744768 = -1 · 210 · 34 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2353,-232471] |
[a1,a2,a3,a4,a6] |
Generators |
[116:971:1] |
Generators of the group modulo torsion |
j |
-12246522625/191020032 |
j-invariant |
L |
8.2201763967379 |
L(r)(E,1)/r! |
Ω |
0.29060816262184 |
Real period |
R |
0.70715291705645 |
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 |
110544bz1 41454m1 1974f1 |
Quadratic twists by: -4 -3 -7 |