Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
29088j |
Isogeny class |
Conductor |
29088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-3053541888 = -1 · 29 · 310 · 101 |
Discriminant |
Eigenvalues |
2- 3- -2 1 4 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,3274] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:72:1] |
Generators of the group modulo torsion |
j |
-7301384/8181 |
j-invariant |
L |
5.7019130794934 |
L(r)(E,1)/r! |
Ω |
1.2908552516213 |
Real period |
R |
2.2085795724701 |
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 |
29088a1 58176be1 9696c1 |
Quadratic twists by: -4 8 -3 |