Atkin-Lehner |
2- 3- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38628g |
Isogeny class |
Conductor |
38628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
418176 |
Modular degree for the optimal curve |
Δ |
-10514986440048 = -1 · 24 · 39 · 293 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -5 3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1930701,1032572729] |
[a1,a2,a3,a4,a6] |
Generators |
[824:1073:1] |
Generators of the group modulo torsion |
j |
-68237210645392707328/901490607 |
j-invariant |
L |
3.1489896395545 |
L(r)(E,1)/r! |
Ω |
0.51062020287085 |
Real period |
R |
0.51391582593258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12876a1 |
Quadratic twists by: -3 |