Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bl |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-1370026069984000 = -1 · 28 · 53 · 117 · 133 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215541,38629241] |
[a1,a2,a3,a4,a6] |
Generators |
[-535:726:1] |
Generators of the group modulo torsion |
j |
-2441851961344/3020875 |
j-invariant |
L |
11.507495750077 |
L(r)(E,1)/r! |
Ω |
0.47968924298203 |
Real period |
R |
2.9986850645421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31460e1 11440m1 |
Quadratic twists by: -4 -11 |