Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bu |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-398426057507487744 = -1 · 214 · 319 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,183957,199834] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:126:1] |
Generators of the group modulo torsion |
j |
230560651724759/133432080516 |
j-invariant |
L |
6.3918571880403 |
L(r)(E,1)/r! |
Ω |
0.1792064487166 |
Real period |
R |
2.9722968648418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7686r1 20496ba1 |
Quadratic twists by: -4 -3 |