Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550o |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5052380062500000 = 25 · 310 · 59 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-528651,-147949802] |
[a1,a2,a3,a4,a6] |
Generators |
[-418:396:1] |
Generators of the group modulo torsion |
j |
1045706191321645729/323352324000 |
j-invariant |
L |
3.4397334407489 |
L(r)(E,1)/r! |
Ω |
0.17705795655816 |
Real period |
R |
0.97135805349112 |
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 |
44400bc2 16650cc2 1110i2 |
Quadratic twists by: -4 -3 5 |