Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752p |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-397882368 = -1 · 210 · 36 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -6 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-934] |
[a1,a2,a3,a4,a6] |
Generators |
[11:34:1] |
Generators of the group modulo torsion |
j |
48668/533 |
j-invariant |
L |
3.6947851285294 |
L(r)(E,1)/r! |
Ω |
0.83033307430016 |
Real period |
R |
2.2248813409325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38376t1 8528a1 |
Quadratic twists by: -4 -3 |