Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8550l |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13878052734375000 = 23 · 39 · 512 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248067,-47154659] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:473:1] |
Generators of the group modulo torsion |
j |
148212258825961/1218375000 |
j-invariant |
L |
2.8736945312481 |
L(r)(E,1)/r! |
Ω |
0.21402896621679 |
Real period |
R |
1.6783327170873 |
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 |
68400ef2 2850r2 1710o2 |
Quadratic twists by: -4 -3 5 |