Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320ba |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2781864000000 = 29 · 38 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3963,52738] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1836:1] |
Generators of the group modulo torsion |
j |
18441593288/7453125 |
j-invariant |
L |
5.1669415601207 |
L(r)(E,1)/r! |
Ω |
0.73173207416998 |
Real period |
R |
3.5306239416996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320bb2 25440s2 |
Quadratic twists by: -4 -3 |