Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53820m |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1251327916800 = 28 · 37 · 52 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2703,5398] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:180:1] [-37:234:1] |
Generators of the group modulo torsion |
j |
11702923216/6705075 |
j-invariant |
L |
8.0123625766513 |
L(r)(E,1)/r! |
Ω |
0.73740913544203 |
Real period |
R |
0.45273163112333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17940i2 |
Quadratic twists by: -3 |