Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370dm |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.4041659211037E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5410543251,153182144383281] |
[a1,a2,a3,a4,a6] |
Generators |
[42468:-21333:1] |
Generators of the group modulo torsion |
j |
148887449808754249886028372001/119352133983600 |
j-invariant |
L |
12.707989328679 |
L(r)(E,1)/r! |
Ω |
0.097384053284964 |
Real period |
R |
2.7186153003318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910bb5 |
Quadratic twists by: -7 |