Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115m |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-2.9850951387109E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38092,-831265234] |
[a1,a2,a3,a4,a6] |
Generators |
[7886407443408:6503143447930:8502154921] |
Generators of the group modulo torsion |
j |
4733169839/231139696095 |
j-invariant |
L |
3.0444172525971 |
L(r)(E,1)/r! |
Ω |
0.079552914951961 |
Real period |
R |
19.134542426479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705m1 3465i1 |
Quadratic twists by: -3 -11 |