Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804s |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-996187248 = -1 · 24 · 37 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -5 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-590,5529] |
[a1,a2,a3,a4,a6] |
Generators |
[10:27:1] [-12:105:1] |
Generators of the group modulo torsion |
j |
-4145734912/181521 |
j-invariant |
L |
8.8282990370064 |
L(r)(E,1)/r! |
Ω |
1.5480133229694 |
Real period |
R |
0.13578539215412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48804o1 |
Quadratic twists by: -7 |