Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120b |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
11577600 = 28 · 33 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87,266] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:24:1] |
Generators of the group modulo torsion |
j |
10536048/1675 |
j-invariant |
L |
5.6174708046689 |
L(r)(E,1)/r! |
Ω |
2.1661827623124 |
Real period |
R |
1.2966290061953 |
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 |
48240d1 24120o1 120600bh1 |
Quadratic twists by: -4 -3 5 |