Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bf |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-8633271973314560 = -1 · 219 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51264,178484] |
[a1,a2,a3,a4,a6] |
Generators |
[10:832:1] |
Generators of the group modulo torsion |
j |
2053225511/1189760 |
j-invariant |
L |
6.2111786637681 |
L(r)(E,1)/r! |
Ω |
0.24758788577927 |
Real period |
R |
1.5679226995357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730s1 11440h1 |
Quadratic twists by: -4 -11 |