Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864g |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2507335488 = 26 · 32 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-558,-4284] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:14:1] |
Generators of the group modulo torsion |
j |
300763000000/39177117 |
j-invariant |
L |
5.1374143599732 |
L(r)(E,1)/r! |
Ω |
0.99058345278602 |
Real period |
R |
0.86437515613049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24864v1 49728cb2 74592br1 |
Quadratic twists by: -4 8 -3 |