Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dl |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
44236800 |
Modular degree for the optimal curve |
Δ |
-1.1365765324329E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-362473673,3112393469001] |
[a1,a2,a3,a4,a6] |
j |
-4078208988807294650401/880065599546327040 |
j-invariant |
L |
3.738213288667 |
L(r)(E,1)/r! |
Ω |
0.04672766616988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410m1 6930i1 |
Quadratic twists by: -3 -11 |