Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768z |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-8307332793040896 = -1 · 216 · 313 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 1 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14412,-4435472] |
[a1,a2,a3,a4,a6] |
Generators |
[198:688:1] |
Generators of the group modulo torsion |
j |
-6929294404/173881809 |
j-invariant |
L |
6.5373418328627 |
L(r)(E,1)/r! |
Ω |
0.17934943902127 |
Real period |
R |
1.5187627266771 |
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 |
24768bz1 3096c1 8256t1 |
Quadratic twists by: -4 8 -3 |