Atkin-Lehner |
2- 3- 7- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038bd |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
Δ |
-8.0146542765822E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1401979,1202562173] |
[a1,a2,a3,a4,a6] |
Generators |
[687:49552:1] |
Generators of the group modulo torsion |
j |
418043042247383288567/1099403878817857536 |
j-invariant |
L |
14.911169831816 |
L(r)(E,1)/r! |
Ω |
0.11141442649038 |
Real period |
R |
1.5932759484841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029742 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38346f2 |
Quadratic twists by: -3 |