Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560v |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-248578219120 = -1 · 24 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -1 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-25255] |
[a1,a2,a3,a4,a6] |
Generators |
[333872:5239263:1331] |
Generators of the group modulo torsion |
j |
-12544/55 |
j-invariant |
L |
8.1977795597452 |
L(r)(E,1)/r! |
Ω |
0.40776417949265 |
Real period |
R |
10.05210851275 |
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 |
43120u1 107800s1 21560k1 |
Quadratic twists by: -4 5 -7 |