Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768bz |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
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 |
[76:1944:1] |
Generators of the group modulo torsion |
j |
-6929294404/173881809 |
j-invariant |
L |
5.1157255415067 |
L(r)(E,1)/r! |
Ω |
0.34679446090567 |
Real period |
R |
1.8439328327746 |
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 |
24768z1 6192h1 8256bc1 |
Quadratic twists by: -4 8 -3 |