Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bg |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-63951504048 = -1 · 24 · 33 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,12167] |
[a1,a2,a3,a4,a6] |
Generators |
[1177:40380:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.7306446116122 |
L(r)(E,1)/r! |
Ω |
0.87712554027976 |
Real period |
R |
6.5334371752552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19044c1 76176bg3 144a1 |
Quadratic twists by: -4 -3 -23 |