Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104w |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
2717466591327488 = 28 · 7 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- -2 4 7- 11+ 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38081,-1387853] |
[a1,a2,a3,a4,a6] |
Generators |
[9958:993565:1] |
Generators of the group modulo torsion |
j |
173056/77 |
j-invariant |
L |
6.5652100925972 |
L(r)(E,1)/r! |
Ω |
0.35617261183113 |
Real period |
R |
9.2163319953353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104e1 |
Quadratic twists by: 13 |