Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176bj |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-277138191494283264 = -1 · 217 · 33 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 -1 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36501,25185690] |
[a1,a2,a3,a4,a6] |
Generators |
[277:7520:1] |
Generators of the group modulo torsion |
j |
621/32 |
j-invariant |
L |
7.6971433277635 |
L(r)(E,1)/r! |
Ω |
0.23483045522717 |
Real period |
R |
4.097181155549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9522f1 76176bm1 76176bn1 |
Quadratic twists by: -4 -3 -23 |