Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200et |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-185254821360000000 = -1 · 210 · 39 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33075,-20837250] |
[a1,a2,a3,a4,a6] |
Generators |
[108990:294300:343] |
Generators of the group modulo torsion |
j |
-108/5 |
j-invariant |
L |
7.2557768285522 |
L(r)(E,1)/r! |
Ω |
0.13996015458828 |
Real period |
R |
6.4802164994905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200h1 17640d1 1800n1 |
Quadratic twists by: -3 5 -7 |