Atkin-Lehner |
2+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
13664b |
Isogeny class |
Conductor |
13664 |
Conductor |
∏ cp |
2 |
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] |
j |
-21024576000/1025227 |
j-invariant |
L |
0.86440931240149 |
L(r)(E,1)/r! |
Ω |
0.43220465620075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13664f1 27328n1 122976bd1 95648d1 |
Quadratic twists by: -4 8 -3 -7 |