Atkin-Lehner |
2- 3- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478cq |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.5272128723141E+34 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-287888194427,59750927039697837] |
[a1,a2,a3,a4,a6] |
Generators |
[-7984845770:45096534629701:166375] |
Generators of the group modulo torsion |
j |
-22428851720936080012736578562556577/129810952265985400081515331068 |
j-invariant |
L |
16.216198880438 |
L(r)(E,1)/r! |
Ω |
0.012509999697712 |
Real period |
R |
13.502697257776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354t6 |
Quadratic twists by: -7 |