Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
21624i |
Isogeny class |
Conductor |
21624 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
649371803409408 = 210 · 3 · 175 · 533 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -2 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-298112,62538192] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:10812:1] |
Generators of the group modulo torsion |
j |
2861301264905323012/634152151767 |
j-invariant |
L |
7.2818313340045 |
L(r)(E,1)/r! |
Ω |
0.4982513032388 |
Real period |
R |
0.48715920973146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43248c1 64872b1 |
Quadratic twists by: -4 -3 |