Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gq |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
216020888197373952 = 213 · 37 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1598331,777443114] |
[a1,a2,a3,a4,a6] |
Generators |
[-875:38808:1] |
Generators of the group modulo torsion |
j |
1285429208617/614922 |
j-invariant |
L |
3.948471755758 |
L(r)(E,1)/r! |
Ω |
0.31099491892475 |
Real period |
R |
0.79351613071061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999612 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9702bx3 25872bm4 11088bm3 |
Quadratic twists by: -4 -3 -7 |