Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616ga |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-56576899289788416 = -1 · 212 · 36 · 76 · 115 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72912,13725488] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:3773:1] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
6.5374632726166 |
L(r)(E,1)/r! |
Ω |
0.31833988438953 |
Real period |
R |
2.0536111220027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4851l2 8624r2 1584p2 |
Quadratic twists by: -4 -3 -7 |