Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920o |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
812514240000 = 29 · 310 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-334443,74444258] |
[a1,a2,a3,a4,a6] |
Generators |
[37252:561519:64] |
Generators of the group modulo torsion |
j |
11083898859981128/2176875 |
j-invariant |
L |
5.341180369528 |
L(r)(E,1)/r! |
Ω |
0.70620952963906 |
Real period |
R |
7.563166660067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920bp4 123840cl4 20640s2 |
Quadratic twists by: -4 8 -3 |