Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fp |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-80688766636800 = -1 · 28 · 37 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5145,408170] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-882:1] |
Generators of the group modulo torsion |
j |
560/3 |
j-invariant |
L |
7.6816600806778 |
L(r)(E,1)/r! |
Ω |
0.43905420959218 |
Real period |
R |
0.3644984637551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400b1 88200de1 88200gi1 |
Quadratic twists by: -3 5 -7 |