Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805m |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
2478175 = 52 · 73 · 172 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- -4 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-176,881] |
[a1,a2,a3,a4,a6] |
Generators |
[11:12:1] [-1:33:1] |
Generators of the group modulo torsion |
j |
6084487/25 |
j-invariant |
L |
6.7983992174054 |
L(r)(E,1)/r! |
Ω |
2.587221477025 |
Real period |
R |
0.65692087802511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805bj1 70805bq1 |
Quadratic twists by: -7 17 |