Atkin-Lehner |
2- 3+ 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042be |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
428544 |
Modular degree for the optimal curve |
Δ |
-194545681956864 = -1 · 218 · 33 · 72 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 -1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13984,-216061] |
[a1,a2,a3,a4,a6] |
j |
11201683792858749/7205395628032 |
j-invariant |
L |
7.7767710033054 |
L(r)(E,1)/r! |
Ω |
0.32403213201031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84042f2 |
Quadratic twists by: -3 |