Atkin-Lehner |
2- 3- 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170ba |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-1.3517975351402E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-886388,1798090967] |
[a1,a2,a3,a4,a6] |
Generators |
[-1419:14749:1] |
Generators of the group modulo torsion |
j |
-105649471331770462201/1854317606502400000 |
j-invariant |
L |
12.886040387433 |
L(r)(E,1)/r! |
Ω |
0.12840041891033 |
Real period |
R |
2.787728949609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038535 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13130c2 |
Quadratic twists by: -3 |