Atkin-Lehner |
2- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
61268b |
Isogeny class |
Conductor |
61268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
20468658512 = 24 · 176 · 53 |
Discriminant |
Eigenvalues |
2- -2 -2 0 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5009,-137960] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:13:1] [113:867:1] |
Generators of the group modulo torsion |
j |
35995648/53 |
j-invariant |
L |
6.8473062465544 |
L(r)(E,1)/r! |
Ω |
0.56753542492685 |
Real period |
R |
4.0216615831725 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
212b2 |
Quadratic twists by: 17 |