Atkin-Lehner |
2- 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830cb |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-1677331722240 = -1 · 212 · 310 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428,62511] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:245:1] [-19:261:1] |
Generators of the group modulo torsion |
j |
-11867954041/2300866560 |
j-invariant |
L |
16.06671229251 |
L(r)(E,1)/r! |
Ω |
0.68669049326986 |
Real period |
R |
1.9497760699603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610e1 |
Quadratic twists by: -3 |