Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450y |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
255263164210741500 = 22 · 39 · 53 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-307302,-60819544] |
[a1,a2,a3,a4,a6] |
Generators |
[-382:1038:1] |
Generators of the group modulo torsion |
j |
736314327/58564 |
j-invariant |
L |
5.198682362875 |
L(r)(E,1)/r! |
Ω |
0.20379508801066 |
Real period |
R |
3.1886700592535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54450er2 54450es2 4950bb2 |
Quadratic twists by: -3 5 -11 |