Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115p |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760000 |
Modular degree for the optimal curve |
Δ |
-2.1938563640914E+22 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9736023,13693302378] |
[a1,a2,a3,a4,a6] |
Generators |
[6908:525442:1] |
Generators of the group modulo torsion |
j |
-79028701534867456/16987307596875 |
j-invariant |
L |
2.5046476794695 |
L(r)(E,1)/r! |
Ω |
0.11547522035771 |
Real period |
R |
5.4224786748841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705p1 3465h1 |
Quadratic twists by: -3 -11 |