Atkin-Lehner |
3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
4161c |
Isogeny class |
Conductor |
4161 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
239815119771 = 38 · 193 · 732 |
Discriminant |
Eigenvalues |
1 3+ 2 2 2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36704,2691225] |
[a1,a2,a3,a4,a6] |
j |
5468678455460725513/239815119771 |
j-invariant |
L |
2.7902118181809 |
L(r)(E,1)/r! |
Ω |
0.9300706060603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576z2 12483j2 104025q2 79059k2 |
Quadratic twists by: -4 -3 5 -19 |