Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576bb |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-4212688489072128 = -1 · 29 · 317 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 2 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3545931,2570063506] |
[a1,a2,a3,a4,a6] |
Generators |
[5391550:2879208:4913] |
Generators of the group modulo torsion |
j |
-13210433346558574664/11286566811 |
j-invariant |
L |
6.8321475602582 |
L(r)(E,1)/r! |
Ω |
0.36562115728095 |
Real period |
R |
9.3432059285436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576bd1 36192n1 |
Quadratic twists by: -4 -3 |