Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470t |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2130174500592782250 = 2 · 36 · 53 · 438 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2510056,-1530074881] |
[a1,a2,a3,a4,a6] |
Generators |
[-391948209817086:454348875604997:438629531192] |
Generators of the group modulo torsion |
j |
276670733768281/336980250 |
j-invariant |
L |
5.7016896947249 |
L(r)(E,1)/r! |
Ω |
0.11995282027929 |
Real period |
R |
23.766384489474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290g2 |
Quadratic twists by: -43 |