Atkin-Lehner |
3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21483n |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1240876490931 = -1 · 39 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11- 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-642,53959] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1039:1] |
Generators of the group modulo torsion |
j |
-40142209024/1702162539 |
j-invariant |
L |
4.7934879773174 |
L(r)(E,1)/r! |
Ω |
0.71663770604113 |
Real period |
R |
0.16722145433143 |
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 |
7161d1 |
Quadratic twists by: -3 |