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 |
deg |
61824 |
Modular degree for the optimal curve |
Δ |
16351471715337 = 37 · 11 · 294 · 312 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9191,-281664] |
[a1,a2,a3,a4,a6] |
Generators |
[-586:873:8] |
Generators of the group modulo torsion |
j |
85878774786616057/16351471715337 |
j-invariant |
L |
3.2503031474547 |
L(r)(E,1)/r! |
Ω |
0.4940274781557 |
Real period |
R |
3.2895975337128 |
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 |
89001d1 |
Quadratic twists by: -3 |