Atkin-Lehner |
2- 3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5874g |
Isogeny class |
Conductor |
5874 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
-139932263319552 = -1 · 211 · 32 · 112 · 894 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5477,547793] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:553:1] |
Generators of the group modulo torsion |
j |
18169667462567375/139932263319552 |
j-invariant |
L |
6.4685034277153 |
L(r)(E,1)/r! |
Ω |
0.42430183187169 |
Real period |
R |
0.34647845117822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46992e2 17622c2 64614g2 |
Quadratic twists by: -4 -3 -11 |