Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120o |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
8440070400 = 28 · 39 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,-7182] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] |
Generators of the group modulo torsion |
j |
10536048/1675 |
j-invariant |
L |
4.9970911453082 |
L(r)(E,1)/r! |
Ω |
0.91221204790575 |
Real period |
R |
1.369498231464 |
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 |
48240a1 24120b1 120600a1 |
Quadratic twists by: -4 -3 5 |