Atkin-Lehner |
2+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600l |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
203522000000000 = 210 · 59 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64008,6216512] |
[a1,a2,a3,a4,a6] |
Generators |
[182:750:1] |
Generators of the group modulo torsion |
j |
1812647208964/12720125 |
j-invariant |
L |
12.370699303116 |
L(r)(E,1)/r! |
Ω |
0.56688812198923 |
Real period |
R |
1.3638823459179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63800i2 25520i2 |
Quadratic twists by: -4 5 |