Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bv |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1306368 |
Modular degree for the optimal curve |
Δ |
-5176556000000000 = -1 · 211 · 59 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11+ -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82075,9689750] |
[a1,a2,a3,a4,a6] |
Generators |
[-80370:3040750:729] |
Generators of the group modulo torsion |
j |
-16241202/1375 |
j-invariant |
L |
12.61826641338 |
L(r)(E,1)/r! |
Ω |
0.42159008917174 |
Real period |
R |
7.4825444659522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560c1 2200h1 |
Quadratic twists by: 5 -7 |