Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fr |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2100394800 = -1 · 24 · 37 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1470,21805] |
[a1,a2,a3,a4,a6] |
Generators |
[14:63:1] |
Generators of the group modulo torsion |
j |
-501760/3 |
j-invariant |
L |
5.8604008798922 |
L(r)(E,1)/r! |
Ω |
1.4759172427277 |
Real period |
R |
0.33089032741685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400be1 88200df1 88200gl1 |
Quadratic twists by: -3 5 -7 |