Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bx |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-15975002736 = -1 · 24 · 37 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -5 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,-6811] |
[a1,a2,a3,a4,a6] |
Generators |
[28:63:1] |
Generators of the group modulo torsion |
j |
-1755904/3993 |
j-invariant |
L |
3.3328500106913 |
L(r)(E,1)/r! |
Ω |
0.49938148174806 |
Real period |
R |
1.668488987543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808bj1 25872k1 77616bv1 |
Quadratic twists by: -4 -3 -7 |