Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fw |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
166659897600000000 = 214 · 312 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176700,-20774000] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:2772:1] |
Generators of the group modulo torsion |
j |
3269383504/893025 |
j-invariant |
L |
6.0859429077055 |
L(r)(E,1)/r! |
Ω |
0.23763478137152 |
Real period |
R |
3.2013111029315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992321 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800mb2 12600cd2 33600db2 20160bh2 |
Quadratic twists by: -4 8 -3 5 |