Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
82076d |
Isogeny class |
Conductor |
82076 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-466144732528 = -1 · 24 · 177 · 71 |
Discriminant |
Eigenvalues |
2- -2 -4 0 1 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1830,-45191] |
[a1,a2,a3,a4,a6] |
Generators |
[62:289:1] |
Generators of the group modulo torsion |
j |
-1755904/1207 |
j-invariant |
L |
2.0797719412975 |
L(r)(E,1)/r! |
Ω |
0.35415017004404 |
Real period |
R |
0.48938090029271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999646015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4828a1 |
Quadratic twists by: 17 |