Atkin-Lehner |
3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275i |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3366104303203125 = 3 · 57 · 118 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141626,-20335477] |
[a1,a2,a3,a4,a6] |
Generators |
[4470272728:-153789448689:3511808] |
Generators of the group modulo torsion |
j |
20106118884162961/215430675405 |
j-invariant |
L |
8.547330293987 |
L(r)(E,1)/r! |
Ω |
0.24626080086291 |
Real period |
R |
17.354224188213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055c3 |
Quadratic twists by: 5 |