Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
13664f |
Isogeny class |
Conductor |
13664 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-4199329792 = -1 · 212 · 75 · 61 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-920,11184] |
[a1,a2,a3,a4,a6] |
Generators |
[20:28:1] |
Generators of the group modulo torsion |
j |
-21024576000/1025227 |
j-invariant |
L |
4.6640328229543 |
L(r)(E,1)/r! |
Ω |
1.3707612001053 |
Real period |
R |
0.34025130143719 |
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 |
13664b1 27328y1 122976bp1 95648c1 |
Quadratic twists by: -4 8 -3 -7 |