Atkin-Lehner |
2+ 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248c |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
249600 |
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 |
[-314:106:1] |
Generators of the group modulo torsion |
j |
2861301264905323012/634152151767 |
j-invariant |
L |
6.541421139786 |
L(r)(E,1)/r! |
Ω |
0.20431974820831 |
Real period |
R |
1.0671869618009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21624i1 129744c1 |
Quadratic twists by: -4 -3 |