Atkin-Lehner |
2- 3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bx |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
813498470400 = 212 · 3 · 52 · 72 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2631,27453] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:282:1] |
Generators of the group modulo torsion |
j |
2014172087075569/813498470400 |
j-invariant |
L |
7.7621628443764 |
L(r)(E,1)/r! |
Ω |
0.81072905311597 |
Real period |
R |
0.26595276650979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bv1 |
Quadratic twists by: -3 |