Atkin-Lehner |
2+ 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80240a |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-51353600 = -1 · 211 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -4 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] [8:20:1] |
Generators of the group modulo torsion |
j |
-9653618/25075 |
j-invariant |
L |
8.2650195425957 |
L(r)(E,1)/r! |
Ω |
1.7667289555706 |
Real period |
R |
0.58476850087185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40120a1 |
Quadratic twists by: -4 |