Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bm |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.603612837793E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2509563,1541225781] |
[a1,a2,a3,a4,a6] |
Generators |
[8678:74389:8] |
Generators of the group modulo torsion |
j |
-111865973128998779881/1026312216187500 |
j-invariant |
L |
8.4225521441622 |
L(r)(E,1)/r! |
Ω |
0.22144211028528 |
Real period |
R |
4.7543758381389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490n2 |
Quadratic twists by: 5 |