Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610t |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1504091705903677440 = -1 · 236 · 34 · 5 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-780803,-272099842] |
[a1,a2,a3,a4,a6] |
j |
-52643812360427830814761/1504091705903677440 |
j-invariant |
L |
1.4430300533919 |
L(r)(E,1)/r! |
Ω |
0.080168336299548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880br3 16830cd3 28050cm3 61710cz3 |
Quadratic twists by: -4 -3 5 -11 |