Atkin-Lehner |
2+ 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992t |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
126976 |
Modular degree for the optimal curve |
Δ |
-1188266924208 = -1 · 24 · 3 · 74 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2399,68460] |
[a1,a2,a3,a4,a6] |
j |
-95471883876352/74266682763 |
j-invariant |
L |
3.1795148171971 |
L(r)(E,1)/r! |
Ω |
0.79487870719477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496l1 |
Quadratic twists by: -4 |