Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cu |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-96461262172800 = -1 · 27 · 32 · 52 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 0 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10779,195201] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-1059:1] [6:507:1] |
Generators of the group modulo torsion |
j |
1177249106879/819907200 |
j-invariant |
L |
19.20377278333 |
L(r)(E,1)/r! |
Ω |
0.37950847568857 |
Real period |
R |
0.45180086358525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430bd1 |
Quadratic twists by: -7 |