Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304b |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15984981773595648 = 210 · 320 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79275,-6066794] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:616:1] |
Generators of the group modulo torsion |
j |
73808262062500/21413352213 |
j-invariant |
L |
3.9527639206541 |
L(r)(E,1)/r! |
Ω |
0.29083505498685 |
Real period |
R |
3.3977712219327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608k2 9768q2 |
Quadratic twists by: -4 -3 |