Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ef |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
3507038208000 = 214 · 310 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43068,-3438992] |
[a1,a2,a3,a4,a6] |
Generators |
[10466:1070496:1] |
Generators of the group modulo torsion |
j |
739674007504/293625 |
j-invariant |
L |
7.5347047520372 |
L(r)(E,1)/r! |
Ω |
0.33141428593797 |
Real period |
R |
5.6837507276118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520x1 20880x1 27840eg1 |
Quadratic twists by: -4 8 -3 |