Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
48804k |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-29528957808 = -1 · 24 · 33 · 77 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11678,-481935] |
[a1,a2,a3,a4,a6] |
j |
-93574624000/15687 |
j-invariant |
L |
1.3777525534022 |
L(r)(E,1)/r! |
Ω |
0.22962542564847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6972b1 |
Quadratic twists by: -7 |