Atkin-Lehner |
2- 3- 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870bk |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-1237515408000 = -1 · 27 · 36 · 53 · 17 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1768,-45669] |
[a1,a2,a3,a4,a6] |
Generators |
[81:749:1] |
Generators of the group modulo torsion |
j |
838828609991/1697552000 |
j-invariant |
L |
8.2661284801491 |
L(r)(E,1)/r! |
Ω |
0.44958858286235 |
Real period |
R |
0.43776152055666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13430a1 |
Quadratic twists by: -3 |