Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21700i |
Isogeny class |
Conductor |
21700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1823559500000000 = -1 · 28 · 59 · 76 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 4 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28667,845537] |
[a1,a2,a3,a4,a6] |
Generators |
[67:1750:1] |
Generators of the group modulo torsion |
j |
5210570752/3647119 |
j-invariant |
L |
4.638215227397 |
L(r)(E,1)/r! |
Ω |
0.29728666908841 |
Real period |
R |
0.43338408771307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800cj1 21700g1 |
Quadratic twists by: -4 5 |