Atkin-Lehner |
2- 3- 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170bc |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
377344 |
Modular degree for the optimal curve |
Δ |
-44085868844940 = -1 · 22 · 317 · 5 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2462,-322279] |
[a1,a2,a3,a4,a6] |
Generators |
[662:1173:8] |
Generators of the group modulo torsion |
j |
-2263054145689/60474442860 |
j-invariant |
L |
11.087944486973 |
L(r)(E,1)/r! |
Ω |
0.27785803563191 |
Real period |
R |
4.9881338017867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39390d1 |
Quadratic twists by: -3 |