Atkin-Lehner |
2- 3- 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bz |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7573109045400 = 23 · 39 · 52 · 192 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9068,-302569] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:127:1] |
Generators of the group modulo torsion |
j |
113106045269881/10388352600 |
j-invariant |
L |
8.6729177828227 |
L(r)(E,1)/r! |
Ω |
0.49212048353187 |
Real period |
R |
1.4686304778123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610s2 |
Quadratic twists by: -3 |