Atkin-Lehner |
2+ 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
16590l |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215488 |
Modular degree for the optimal curve |
Δ |
60885565440000000 = 226 · 3 · 57 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-366628,84585506] |
[a1,a2,a3,a4,a6] |
j |
5450030069291210725561/60885565440000000 |
j-invariant |
L |
2.4644605594889 |
L(r)(E,1)/r! |
Ω |
0.3520657942127 |
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 |
49770bl1 82950cb1 116130h1 |
Quadratic twists by: -3 5 -7 |