Atkin-Lehner |
2+ 3- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bp |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
5184 |
Product of Tamagawa factors cp |
Δ |
1.0029115297985E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38005452808,2851783142342918] |
[a1,a2,a3,a4,a6] |
Generators |
[112549:-58585:1] |
Generators of the group modulo torsion |
j |
6071016954682394123338855607356153081/10029115297984535156250000 |
j-invariant |
L |
6.2050173537764 |
L(r)(E,1)/r! |
Ω |
0.04668666719481 |
Real period |
R |
0.92297010858212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810dq5 |
Quadratic twists by: -3 |