Atkin-Lehner |
2- 3- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89352r |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
252928 |
Modular degree for the optimal curve |
Δ |
-23077863688752 = -1 · 24 · 319 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 2 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2118,-234155] |
[a1,a2,a3,a4,a6] |
j |
-90085328896/1978554843 |
j-invariant |
L |
2.3369987823118 |
L(r)(E,1)/r! |
Ω |
0.29212484644462 |
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 |
29784d1 |
Quadratic twists by: -3 |