Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bp |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
269280 |
Modular degree for the optimal curve |
Δ |
10735200000000 = 211 · 33 · 58 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8326,-246952] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:209:1] |
Generators of the group modulo torsion |
j |
163379631865/27482112 |
j-invariant |
L |
5.4455416591856 |
L(r)(E,1)/r! |
Ω |
0.50552108030859 |
Real period |
R |
3.5907118903456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550bz1 |
Quadratic twists by: 5 |