Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29412c |
Isogeny class |
Conductor |
29412 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
271872 |
Modular degree for the optimal curve |
Δ |
-30580358596676352 = -1 · 28 · 310 · 196 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -5 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-517080,143361956] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:13718:1] |
Generators of the group modulo torsion |
j |
-81927450244096000/163860803523 |
j-invariant |
L |
5.358017697258 |
L(r)(E,1)/r! |
Ω |
0.37182471222802 |
Real period |
R |
1.200838621231 |
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 |
117648cc1 9804a1 |
Quadratic twists by: -4 -3 |