Atkin-Lehner |
2- 3+ 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310bi |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
181342935000 = 23 · 33 · 54 · 192 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-476318,126648981] |
[a1,a2,a3,a4,a6] |
Generators |
[411:221:1] |
Generators of the group modulo torsion |
j |
442639406049112778787/6716405000 |
j-invariant |
L |
12.288751943034 |
L(r)(E,1)/r! |
Ω |
0.7205179992781 |
Real period |
R |
1.4212867152162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310d2 |
Quadratic twists by: -3 |