Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48608g |
Isogeny class |
Conductor |
48608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-615513244742144 = -1 · 29 · 79 · 313 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11776,-1294952] |
[a1,a2,a3,a4,a6] |
Generators |
[13026:1486682:1] |
Generators of the group modulo torsion |
j |
-8741816/29791 |
j-invariant |
L |
7.403814501062 |
L(r)(E,1)/r! |
Ω |
0.21063661481881 |
Real period |
R |
8.7874258084712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48608f1 97216i1 48608j1 |
Quadratic twists by: -4 8 -7 |