Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240a |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-282735360 = -1 · 28 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,164,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
1893932336/1104435 |
j-invariant |
L |
3.9005515762781 |
L(r)(E,1)/r! |
Ω |
1.0481294996633 |
Real period |
R |
1.8607202533329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12120n1 96960dz1 72720t1 121200ba1 |
Quadratic twists by: -4 8 -3 5 |