Atkin-Lehner |
3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29913g |
Isogeny class |
Conductor |
29913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114816 |
Modular degree for the optimal curve |
Δ |
1876996389021 = 3 · 139 · 59 |
Discriminant |
Eigenvalues |
2 3+ -1 -2 6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27096,1724543] |
[a1,a2,a3,a4,a6] |
Generators |
[746:17:8] |
Generators of the group modulo torsion |
j |
207474688/177 |
j-invariant |
L |
8.1579747442254 |
L(r)(E,1)/r! |
Ω |
0.82761204615579 |
Real period |
R |
4.9286225243571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89739i1 29913d1 |
Quadratic twists by: -3 13 |