Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946x |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-2805380863488 = -1 · 29 · 37 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,850,79805] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:259:1] |
Generators of the group modulo torsion |
j |
93267830375/3848259072 |
j-invariant |
L |
6.3471060972554 |
L(r)(E,1)/r! |
Ω |
0.61019133000846 |
Real period |
R |
1.7336382281842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71568bf2 2982e2 62622cj2 |
Quadratic twists by: -4 -3 -7 |