Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cy |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-11695324218750 = -1 · 2 · 37 · 59 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9248,382097] |
[a1,a2,a3,a4,a6] |
Generators |
[-642:6527:8] |
Generators of the group modulo torsion |
j |
-87637942369/11718750 |
j-invariant |
L |
7.3558690302482 |
L(r)(E,1)/r! |
Ω |
0.69310296237415 |
Real period |
R |
5.3064763905957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41070o2 123210bq2 |
Quadratic twists by: -3 37 |