Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448bl |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-4534776576 = -1 · 28 · 36 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86232,-9746548] |
[a1,a2,a3,a4,a6] |
j |
-379980749676544/24299 |
j-invariant |
L |
2.2288067788053 |
L(r)(E,1)/r! |
Ω |
0.13930042537779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18612e1 8272i1 |
Quadratic twists by: -4 -3 |