Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390h |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5.2167589521619E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10190884,-6003891934] |
[a1,a2,a3,a4,a6] |
Generators |
[-1871:81647:1] |
Generators of the group modulo torsion |
j |
117046713906345183981983929/52167589521618898333440 |
j-invariant |
L |
4.1914080840153 |
L(r)(E,1)/r! |
Ω |
0.088072409138982 |
Real period |
R |
2.3795239195746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bm3 37170bh3 61950br3 86730p3 |
Quadratic twists by: -4 -3 5 -7 |