Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550bc |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3.5727024078369E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1889463,9148025781] |
[a1,a2,a3,a4,a6] |
Generators |
[2721:154080:1] |
Generators of the group modulo torsion |
j |
-47744008200656797609/2286529541015625000 |
j-invariant |
L |
4.5606937348316 |
L(r)(E,1)/r! |
Ω |
0.096148151485399 |
Real period |
R |
7.9056706835114 |
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 |
44400cv3 16650bd4 1110f4 |
Quadratic twists by: -4 -3 5 |