Atkin-Lehner |
2- 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480bi |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-204672386550000 = -1 · 24 · 3 · 55 · 175 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18206,1163475] |
[a1,a2,a3,a4,a6] |
Generators |
[1791:75609:1] |
Generators of the group modulo torsion |
j |
-41712978242216704/12792024159375 |
j-invariant |
L |
6.1800028840386 |
L(r)(E,1)/r! |
Ω |
0.53343162176882 |
Real period |
R |
5.7926851162831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620c1 |
Quadratic twists by: -4 |