Atkin-Lehner |
3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4761a |
Isogeny class |
Conductor |
4761 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1541395123285923 = -1 · 39 · 238 |
Discriminant |
Eigenvalues |
0 3+ 0 5 0 -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-1888927] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.7475080373089 |
L(r)(E,1)/r! |
Ω |
0.21843850466361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176bi2 4761a1 119025e2 4761b2 |
Quadratic twists by: -4 -3 5 -23 |