Atkin-Lehner |
2+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8294a |
Isogeny class |
Conductor |
8294 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.9811329271892E+28 |
Discriminant |
Eigenvalues |
2+ 1 3 -1 11+ 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2365608362,-45569013436388] |
[a1,a2,a3,a4,a6] |
Generators |
[84262708464927069899787630:-8564361433793918993719018597:1378515782911240953000] |
Generators of the group modulo torsion |
j |
-1464037671781411222570324865213977/49811329271892011429358731264 |
j-invariant |
L |
4.3118753773891 |
L(r)(E,1)/r! |
Ω |
0.010802288675489 |
Real period |
R |
33.263594309518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66352q2 74646bx2 91234r2 107822m2 |
Quadratic twists by: -4 -3 -11 13 |