Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120bb |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
-302096446093750000 = -1 · 24 · 511 · 74 · 115 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-355266,-85805105] |
[a1,a2,a3,a4,a6] |
Generators |
[5079:359381:1] |
Generators of the group modulo torsion |
j |
-129084391106508544/7863818359375 |
j-invariant |
L |
3.2545908062312 |
L(r)(E,1)/r! |
Ω |
0.097431975113602 |
Real period |
R |
6.6807448015587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780a1 43120cr1 |
Quadratic twists by: -4 -7 |