Atkin-Lehner |
2+ 3- 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418m |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.7384094890717E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1618668,-766447920] |
[a1,a2,a3,a4,a6] |
Generators |
[-813:3822:1] |
Generators of the group modulo torsion |
j |
643383143046860398273/23846495048994816 |
j-invariant |
L |
3.306656228348 |
L(r)(E,1)/r! |
Ω |
0.1341526937656 |
Real period |
R |
1.5405282473668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003169 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25806k2 |
Quadratic twists by: -3 |