Atkin-Lehner |
2+ 3- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232d |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.7996451141935E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,184461,-294999838] |
[a1,a2,a3,a4,a6] |
Generators |
[622211522591916904764161590:-303296948168517758863253684223:2618662186208177551000] |
Generators of the group modulo torsion |
j |
929843593713212/50899738433877 |
j-invariant |
L |
8.6606396671004 |
L(r)(E,1)/r! |
Ω |
0.098061120403036 |
Real period |
R |
44.159395802863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50616e3 33744c3 |
Quadratic twists by: -4 -3 |