Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ct |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
107207651250000 = 24 · 36 · 57 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22050,1157625] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:1225:1] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
5.392292309613 |
L(r)(E,1)/r! |
Ω |
0.57945529643945 |
Real period |
R |
1.1632244008781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9800ba1 17640cs1 1800g1 |
Quadratic twists by: -3 5 -7 |