Atkin-Lehner |
2- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
77372a |
Isogeny class |
Conductor |
77372 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
49896 |
Modular degree for the optimal curve |
Δ |
-218894982128 = -1 · 24 · 23 · 296 |
Discriminant |
Eigenvalues |
2- -1 0 2 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1402,9469] |
[a1,a2,a3,a4,a6] |
j |
32000/23 |
j-invariant |
L |
0.63329396709107 |
L(r)(E,1)/r! |
Ω |
0.63329397641145 |
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 |
92a1 |
Quadratic twists by: 29 |