Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232f |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147720822294528 = 211 · 36 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-321915,70298314] |
[a1,a2,a3,a4,a6] |
Generators |
[330:58:1] |
Generators of the group modulo torsion |
j |
2471097448795250/98942809 |
j-invariant |
L |
5.204103182486 |
L(r)(E,1)/r! |
Ω |
0.54335749266652 |
Real period |
R |
2.3944195362739 |
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 |
14616o2 116928dg2 3248b2 |
Quadratic twists by: -4 8 -3 |