Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586q |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-330285184263936 = -1 · 28 · 39 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16857,-238595] |
[a1,a2,a3,a4,a6] |
Generators |
[17:221:1] [838:12649:8] |
Generators of the group modulo torsion |
j |
410172407/255744 |
j-invariant |
L |
7.0151206165032 |
L(r)(E,1)/r! |
Ω |
0.31212163741608 |
Real period |
R |
5.6188996335314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862m1 666f1 |
Quadratic twists by: -3 -11 |