Atkin-Lehner |
17+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126293b |
Isogeny class |
Conductor |
126293 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4124314002323 = -1 · 177 · 19 · 232 |
Discriminant |
Eigenvalues |
0 1 -4 -2 -4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6165,-212450] |
[a1,a2,a3,a4,a6] |
Generators |
[100:425:1] [938:6643:8] |
Generators of the group modulo torsion |
j |
-1073741824/170867 |
j-invariant |
L |
6.998228349923 |
L(r)(E,1)/r! |
Ω |
0.2670531782185 |
Real period |
R |
3.2756717204169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7429a1 |
Quadratic twists by: 17 |