Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747v |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
942480 |
Modular degree for the optimal curve |
Δ |
-1077973023120063147 = -1 · 36 · 7 · 11 · 797 |
Discriminant |
Eigenvalues |
0 3- 4 7- 11- 3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,215772,-31733874] |
[a1,a2,a3,a4,a6] |
j |
1523987641045090304/1478700991934243 |
j-invariant |
L |
3.762324354658 |
L(r)(E,1)/r! |
Ω |
0.15049297419596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083e1 |
Quadratic twists by: -3 |