Atkin-Lehner |
2- 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79992k |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7212714294196224 = 211 · 39 · 116 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128331,17216550] |
[a1,a2,a3,a4,a6] |
Generators |
[718:17182:1] |
Generators of the group modulo torsion |
j |
5798253551958/178927661 |
j-invariant |
L |
4.2374220077443 |
L(r)(E,1)/r! |
Ω |
0.41680067794404 |
Real period |
R |
3.3888476611371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79992a2 |
Quadratic twists by: -3 |