Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120bj |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4393968768000 = 210 · 36 · 53 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1175907,490803406] |
[a1,a2,a3,a4,a6] |
Generators |
[347:11160:1] |
Generators of the group modulo torsion |
j |
240887993512424836/5886125 |
j-invariant |
L |
7.6180455616088 |
L(r)(E,1)/r! |
Ω |
0.56381780490328 |
Real period |
R |
1.1259614798667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680e2 |
Quadratic twists by: -3 |