Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121032m |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
145383286435070976 = 210 · 36 · 417 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166419,18608670] |
[a1,a2,a3,a4,a6] |
Generators |
[1289778:482009940:117649] |
Generators of the group modulo torsion |
j |
143748/41 |
j-invariant |
L |
9.815515394732 |
L(r)(E,1)/r! |
Ω |
0.30348179335261 |
Real period |
R |
8.0857531118709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999742691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13448a1 2952h1 |
Quadratic twists by: -3 41 |