Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18960m |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-452914053120000 = -1 · 222 · 37 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36080,-2817600] |
[a1,a2,a3,a4,a6] |
Generators |
[250:1930:1] |
Generators of the group modulo torsion |
j |
-1268163904241521/110574720000 |
j-invariant |
L |
5.4995373502417 |
L(r)(E,1)/r! |
Ω |
0.17234385565719 |
Real period |
R |
3.9887825774746 |
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 |
2370o1 75840cd1 56880bb1 94800cv1 |
Quadratic twists by: -4 8 -3 5 |