Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200bx |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1959232000000000 = -1 · 215 · 59 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6326408,6122579188] |
[a1,a2,a3,a4,a6] |
Generators |
[1518:4400:1] [68:75450:1] |
Generators of the group modulo torsion |
j |
-437537617105223809/30613000 |
j-invariant |
L |
7.9389374361742 |
L(r)(E,1)/r! |
Ω |
0.35426698408351 |
Real period |
R |
0.93372816171255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650c2 20240p2 |
Quadratic twists by: -4 5 |