Atkin-Lehner |
3+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29913d |
Isogeny class |
Conductor |
29913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
388869 = 3 · 133 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 1 2 -6 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-160,834] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:31:1] [-6:243:8] |
Generators of the group modulo torsion |
j |
207474688/177 |
j-invariant |
L |
4.1113948984777 |
L(r)(E,1)/r! |
Ω |
2.9839976686064 |
Real period |
R |
0.68890719013158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89739l1 29913g1 |
Quadratic twists by: -3 13 |