Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bv |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
792478958040 = 23 · 37 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21732489,-38989871915] |
[a1,a2,a3,a4,a6] |
Generators |
[12315:1243220:1] |
Generators of the group modulo torsion |
j |
13235378341603461121/9240 |
j-invariant |
L |
4.2906707722668 |
L(r)(E,1)/r! |
Ω |
0.069923343498773 |
Real period |
R |
7.6703117971774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bk3 6930f3 |
Quadratic twists by: -3 -7 |