Atkin-Lehner |
3+ 11- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29667a |
Isogeny class |
Conductor |
29667 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15088310960679 = 314 · 112 · 292 · 31 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-139546,-20121695] |
[a1,a2,a3,a4,a6] |
Generators |
[-217090:123509:1000] |
Generators of the group modulo torsion |
j |
300525100862491815337/15088310960679 |
j-invariant |
L |
3.2503031474547 |
L(r)(E,1)/r! |
Ω |
0.24701373907785 |
Real period |
R |
6.5791950674256 |
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 |
89001d2 |
Quadratic twists by: -3 |