Atkin-Lehner |
2- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514g |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
518201344 = 213 · 17 · 612 |
Discriminant |
Eigenvalues |
2- 1 1 -2 -1 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-230,-796] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:28:1] [-4:10:1] |
Generators of the group modulo torsion |
j |
361714201/139264 |
j-invariant |
L |
19.988433412846 |
L(r)(E,1)/r! |
Ω |
1.2665245862317 |
Real period |
R |
1.2140086487518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999963969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126514d1 |
Quadratic twists by: 61 |