Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3774q |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-8958894804 = -1 · 22 · 32 · 173 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1184,-16428] |
[a1,a2,a3,a4,a6] |
j |
-183570015361537/8958894804 |
j-invariant |
L |
4.8694152951183 |
L(r)(E,1)/r! |
Ω |
0.40578460792652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30192l2 120768d2 11322i2 94350f2 |
Quadratic twists by: -4 8 -3 5 |