Atkin-Lehner |
2+ 3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458n |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-3144521500065792 = -1 · 224 · 38 · 72 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35919,-652131] |
[a1,a2,a3,a4,a6] |
j |
7030109576481263/4313472565248 |
j-invariant |
L |
2.0777746539519 |
L(r)(E,1)/r! |
Ω |
0.25972183148791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24486n1 |
Quadratic twists by: -3 |