Atkin-Lehner |
7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8281j |
Isogeny class |
Conductor |
8281 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-88656874579 = -1 · 79 · 133 |
Discriminant |
Eigenvalues |
2 2 -1 7- -2 13- -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1486,26795] |
[a1,a2,a3,a4,a6] |
Generators |
[-828:13345:64] |
Generators of the group modulo torsion |
j |
-4096 |
j-invariant |
L |
10.247817269675 |
L(r)(E,1)/r! |
Ω |
1.0240970204047 |
Real period |
R |
2.5016714885142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74529bq1 8281k1 8281l1 |
Quadratic twists by: -3 -7 13 |