Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fr |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11180195942400 = 212 · 310 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23268,1356608] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1620:1] [-14:1296:1] |
Generators of the group modulo torsion |
j |
466566337216/3744225 |
j-invariant |
L |
9.8049786446759 |
L(r)(E,1)/r! |
Ω |
0.72181315078134 |
Real period |
R |
3.3959545605336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996735 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123840eu2 61920bz1 41280cs2 |
Quadratic twists by: -4 8 -3 |