Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650n |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
178346588992000000 = 212 · 56 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11- 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-406926,-97858752] |
[a1,a2,a3,a4,a6] |
Generators |
[-129549:548603:343] |
Generators of the group modulo torsion |
j |
2224882033/53248 |
j-invariant |
L |
6.2376916538825 |
L(r)(E,1)/r! |
Ω |
0.18930153198295 |
Real period |
R |
2.7459240950679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146m1 78650bt1 |
Quadratic twists by: 5 -11 |