Atkin-Lehner |
2- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104780l |
Isogeny class |
Conductor |
104780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1511424 |
Modular degree for the optimal curve |
Δ |
1441385853275290000 = 24 · 54 · 132 · 318 |
Discriminant |
Eigenvalues |
2- -1 5- 3 -3 13+ -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-492210,119871517] |
[a1,a2,a3,a4,a6] |
Generators |
[-215243:4617605:343] |
Generators of the group modulo torsion |
j |
4877184732669193984/533056898400625 |
j-invariant |
L |
5.8853619282601 |
L(r)(E,1)/r! |
Ω |
0.260988295423 |
Real period |
R |
2.8187863369148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104780i1 |
Quadratic twists by: 13 |