Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176x |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-81743551488 = -1 · 210 · 38 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -2 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,13754] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:108:1] |
Generators of the group modulo torsion |
j |
4/9 |
j-invariant |
L |
6.5698217042164 |
L(r)(E,1)/r! |
Ω |
0.8487809464936 |
Real period |
R |
0.96753787451015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38088o1 25392b1 76176m1 |
Quadratic twists by: -4 -3 -23 |