Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120bh |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-2277019861647360 = -1 · 236 · 3 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-513345,-141756897] |
[a1,a2,a3,a4,a6] |
Generators |
[1906690376977995476237965494670801:16580716616931521892745920310542336:2213227266186231983186704245347] |
Generators of the group modulo torsion |
j |
-57070627168555729/8686141440 |
j-invariant |
L |
8.6564084431145 |
L(r)(E,1)/r! |
Ω |
0.089179121299102 |
Real period |
R |
48.533828978195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120cg1 1410g1 |
Quadratic twists by: -4 8 |