Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728cn |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1342656 = -1 · 26 · 34 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-677,-7011] |
[a1,a2,a3,a4,a6] |
j |
-536971313152/20979 |
j-invariant |
L |
1.871664141697 |
L(r)(E,1)/r! |
Ω |
0.46791603553304 |
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 |
49728dh1 777c1 |
Quadratic twists by: -4 8 |