Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104ci |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1272960 |
Modular degree for the optimal curve |
Δ |
-20268649828737792 = -1 · 28 · 323 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 2 6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19488,6929260] |
[a1,a2,a3,a4,a6] |
Generators |
[10470:1071230:1] |
Generators of the group modulo torsion |
j |
-5215092736/129140163 |
j-invariant |
L |
11.043568891028 |
L(r)(E,1)/r! |
Ω |
0.3220253608784 |
Real period |
R |
8.5735241894033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30276n1 40368bk1 121104cz1 |
Quadratic twists by: -4 -3 29 |