Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115b |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.1089972303674E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4651868,1758169856] |
[a1,a2,a3,a4,a6] |
j |
232747967939865867/106810953528125 |
j-invariant |
L |
0.48837141975153 |
L(r)(E,1)/r! |
Ω |
0.12209285493706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38115f2 3465b2 |
Quadratic twists by: -3 -11 |