Atkin-Lehner |
3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
1947c |
Isogeny class |
Conductor |
1947 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3790809 = 32 · 112 · 592 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-649,-6634] |
[a1,a2,a3,a4,a6] |
j |
30234279618577/3790809 |
j-invariant |
L |
0.47294230859863 |
L(r)(E,1)/r! |
Ω |
0.94588461719726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31152z2 124608bg2 5841f2 48675q2 |
Quadratic twists by: -4 8 -3 5 |