Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752bl |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4514671759104 = 28 · 39 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6399,168426] |
[a1,a2,a3,a4,a6] |
Generators |
[66:2727:8] |
Generators of the group modulo torsion |
j |
5750806896/895973 |
j-invariant |
L |
6.0417257317988 |
L(r)(E,1)/r! |
Ω |
0.74149714995902 |
Real period |
R |
4.0740046867689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19188i2 76752bn1 |
Quadratic twists by: -4 -3 |