Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bu |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1162087531418591232 = 213 · 3 · 73 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13947288,20053123440] |
[a1,a2,a3,a4,a6] |
Generators |
[2153:112:1] |
Generators of the group modulo torsion |
j |
531373116625/2058 |
j-invariant |
L |
5.8236333457263 |
L(r)(E,1)/r! |
Ω |
0.24082960114498 |
Real period |
R |
4.0302585438678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098h2 56784be2 |
Quadratic twists by: -4 13 |