Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700bi |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2126758980500000000 = -1 · 28 · 59 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166375,74868750] |
[a1,a2,a3,a4,a6] |
Generators |
[23364:507111:64] |
Generators of the group modulo torsion |
j |
-574992/2401 |
j-invariant |
L |
6.2680373854508 |
L(r)(E,1)/r! |
Ω |
0.22725331274254 |
Real period |
R |
6.8954301606853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84700z2 700e2 |
Quadratic twists by: 5 -11 |