Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16758m |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-75659149246464 = -1 · 216 · 311 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,684,-418608] |
[a1,a2,a3,a4,a6] |
j |
141420761/302579712 |
j-invariant |
L |
2.2746539725414 |
L(r)(E,1)/r! |
Ω |
0.28433174656767 |
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 |
5586ba1 16758k1 |
Quadratic twists by: -3 -7 |