Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bq |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31073280 |
Modular degree for the optimal curve |
Δ |
-8.0644926094181E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -2 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-350477965,-2525851191160] |
[a1,a2,a3,a4,a6] |
j |
-6964360655609/1179648 |
j-invariant |
L |
1.7446164684327 |
L(r)(E,1)/r! |
Ω |
0.017446164626298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966bb1 84966d1 |
Quadratic twists by: -7 17 |