Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064i |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.211108353638E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1349571,-1052361506] |
[a1,a2,a3,a4,a6] |
Generators |
[711730:212270949:8] |
Generators of the group modulo torsion |
j |
-182076310206451586/215078738106969 |
j-invariant |
L |
4.4193377090073 |
L(r)(E,1)/r! |
Ω |
0.066994582185388 |
Real period |
R |
8.2456998104823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128k3 17688j4 |
Quadratic twists by: -4 -3 |