Atkin-Lehner |
2- 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786da |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-13164934394304 = -1 · 26 · 33 · 77 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1667,176385] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:439:1] |
Generators of the group modulo torsion |
j |
-4354703137/111900096 |
j-invariant |
L |
16.116430635904 |
L(r)(E,1)/r! |
Ω |
0.59324556153853 |
Real period |
R |
1.5092523506369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398y1 |
Quadratic twists by: -7 |