Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121032k |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1322496 |
Modular degree for the optimal curve |
Δ |
220767212734737408 = 210 · 33 · 418 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 1 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-206763,-28257610] |
[a1,a2,a3,a4,a6] |
Generators |
[-58835:504300:343] |
Generators of the group modulo torsion |
j |
4428 |
j-invariant |
L |
8.9293439491441 |
L(r)(E,1)/r! |
Ω |
0.2275111662731 |
Real period |
R |
3.27066140664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121032c1 121032j1 |
Quadratic twists by: -3 41 |