Atkin-Lehner |
2- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
77420d |
Isogeny class |
Conductor |
77420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
716688 |
Modular degree for the optimal curve |
Δ |
-697360770968750000 = -1 · 24 · 59 · 710 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,220892,-4184943] |
[a1,a2,a3,a4,a6] |
j |
263732281344/154296875 |
j-invariant |
L |
2.0227484192786 |
L(r)(E,1)/r! |
Ω |
0.16856237183179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77420i1 |
Quadratic twists by: -7 |