Atkin-Lehner |
2+ 3- 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418m |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2717273381107754304 = 26 · 37 · 112 · 178 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25663788,-50034898800] |
[a1,a2,a3,a4,a6] |
Generators |
[-2925:1710:1] |
Generators of the group modulo torsion |
j |
2564238818914432764265153/3727398327994176 |
j-invariant |
L |
3.306656228348 |
L(r)(E,1)/r! |
Ω |
0.067076346882802 |
Real period |
R |
3.0810564947336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003169 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25806k4 |
Quadratic twists by: -3 |