Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bx |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
207852480000000 = 212 · 310 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68700,-6896000] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:104:1] |
Generators of the group modulo torsion |
j |
768575296/4455 |
j-invariant |
L |
4.470976623129 |
L(r)(E,1)/r! |
Ω |
0.29499317579956 |
Real period |
R |
3.7890508927718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200bd3 26400by3 15840z2 |
Quadratic twists by: -4 -3 5 |