Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950bv |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-2642189760000000 = -1 · 212 · 33 · 57 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38688,3817281] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-1147:1] |
Generators of the group modulo torsion |
j |
-409857819530041/169100144640 |
j-invariant |
L |
9.7124406444273 |
L(r)(E,1)/r! |
Ω |
0.42701910576242 |
Real period |
R |
0.94769770591322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590k1 |
Quadratic twists by: 5 |