Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24804c |
Isogeny class |
Conductor |
24804 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5830614468432 = 24 · 310 · 133 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5160,-82807] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:243:1] |
Generators of the group modulo torsion |
j |
1302642688000/499881213 |
j-invariant |
L |
5.7433108011124 |
L(r)(E,1)/r! |
Ω |
0.58186473880449 |
Real period |
R |
1.645087600288 |
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 |
99216ba1 8268a1 |
Quadratic twists by: -4 -3 |