Atkin-Lehner |
2+ 3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642w |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-1704375219456 = -1 · 28 · 311 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2961,9261] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-294:1] |
Generators of the group modulo torsion |
j |
3937575558671/2337963264 |
j-invariant |
L |
6.2598279568705 |
L(r)(E,1)/r! |
Ω |
0.51239576797187 |
Real period |
R |
0.76354894488545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214bd1 |
Quadratic twists by: -3 |