Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864h |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
1044288 = 26 · 32 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42,108] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
131096512/16317 |
j-invariant |
L |
4.8759138740609 |
L(r)(E,1)/r! |
Ω |
2.6699959467296 |
Real period |
R |
0.91309387192764 |
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 |
24864l1 49728es2 74592bs1 |
Quadratic twists by: -4 8 -3 |