Atkin-Lehner |
3- 7+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99351d |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12690798687 = 36 · 7 · 192 · 832 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-632,2980] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:95:1] [-14:101:1] |
Generators of the group modulo torsion |
j |
38238692409/17408503 |
j-invariant |
L |
5.6900744503525 |
L(r)(E,1)/r! |
Ω |
1.1328281557345 |
Real period |
R |
1.25572321418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11039a2 |
Quadratic twists by: -3 |