Atkin-Lehner |
3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4761d |
Isogeny class |
Conductor |
4761 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11817362611858743 = 38 · 239 |
Discriminant |
Eigenvalues |
-1 3- 4 -4 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5253863,4636486104] |
[a1,a2,a3,a4,a6] |
Generators |
[184255:1114809:125] |
Generators of the group modulo torsion |
j |
12214672127/9 |
j-invariant |
L |
2.7281536640804 |
L(r)(E,1)/r! |
Ω |
0.33374287960479 |
Real period |
R |
8.1744175855108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76176ck2 1587b2 119025bb2 4761e2 |
Quadratic twists by: -4 -3 5 -23 |