Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048w |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-154455767433216 = -1 · 214 · 317 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 0 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1759872,-898607072] |
[a1,a2,a3,a4,a6] |
Generators |
[148680003902027522028737:-1218456867277999776181257:95181647887721770129] |
Generators of the group modulo torsion |
j |
-50468394519494656/12931731 |
j-invariant |
L |
4.8921338728456 |
L(r)(E,1)/r! |
Ω |
0.06553892022072 |
Real period |
R |
37.32235636756 |
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 |
42048cd1 2628b1 14016bb1 |
Quadratic twists by: -4 8 -3 |