Atkin-Lehner |
2+ 3- 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40170j |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-1.4139083132928E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,540041,96977882] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:76537:8] [1735:78236:1] |
Generators of the group modulo torsion |
j |
17418271934802031045271/14139083132928000000 |
j-invariant |
L |
7.4419912253768 |
L(r)(E,1)/r! |
Ω |
0.14370699799456 |
Real period |
R |
0.86309775320961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510bi2 |
Quadratic twists by: -3 |