Atkin-Lehner |
2+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
11872a |
Isogeny class |
Conductor |
11872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-61663168 = -1 · 26 · 73 · 532 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,79,-264] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] [11:44:1] |
Generators of the group modulo torsion |
j |
851971392/963487 |
j-invariant |
L |
5.5761579390064 |
L(r)(E,1)/r! |
Ω |
1.0616220292836 |
Real period |
R |
5.2524889133741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11872c1 23744u1 106848ba1 83104c1 |
Quadratic twists by: -4 8 -3 -7 |