Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bz |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-2727049731840 = -1 · 28 · 39 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,-79326] |
[a1,a2,a3,a4,a6] |
j |
2963088/541205 |
j-invariant |
L |
3.0477123862329 |
L(r)(E,1)/r! |
Ω |
0.38096409625491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440f1 |
Quadratic twists by: -3 |