Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232b |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1345637120256 = 28 · 32 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7492,-240800] |
[a1,a2,a3,a4,a6] |
Generators |
[216225:3537170:729] |
Generators of the group modulo torsion |
j |
37642192/1089 |
j-invariant |
L |
7.8917884013901 |
L(r)(E,1)/r! |
Ω |
0.51405943716941 |
Real period |
R |
7.6759493508489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940615 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44616u2 528b2 |
Quadratic twists by: -4 13 |