Atkin-Lehner |
3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825r |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-5.8456291497803E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -6 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,928683,128830216] |
[a1,a2,a3,a4,a6] |
j |
7776396241319159/5131965234375 |
j-invariant |
L |
0.49597687377586 |
L(r)(E,1)/r! |
Ω |
0.12399421845742 |
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 |
16275c1 9765j1 |
Quadratic twists by: -3 5 |