Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bf |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
168345796608 = 216 · 35 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3233,66879] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:372:1] [-23:360:1] |
Generators of the group modulo torsion |
j |
57042062500/2568753 |
j-invariant |
L |
11.008341125588 |
L(r)(E,1)/r! |
Ω |
1.0077854579676 |
Real period |
R |
1.0923298246273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bh1 8184j1 |
Quadratic twists by: -4 8 |