Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24804i |
Isogeny class |
Conductor |
24804 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
104474448 = 24 · 36 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,-119] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:9:1] |
Generators of the group modulo torsion |
j |
16384000/8957 |
j-invariant |
L |
5.0478734548617 |
L(r)(E,1)/r! |
Ω |
1.5405499967272 |
Real period |
R |
1.0922232245163 |
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 |
99216bp1 2756a1 |
Quadratic twists by: -4 -3 |