Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1360f |
Isogeny class |
Conductor |
1360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18253611008000000 = 236 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66696,1326320] |
[a1,a2,a3,a4,a6] |
Generators |
[-1194:55250:27] |
Generators of the group modulo torsion |
j |
8010684753304969/4456448000000 |
j-invariant |
L |
3.1903795388374 |
L(r)(E,1)/r! |
Ω |
0.33580344915091 |
Real period |
R |
4.7503674350344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
170b3 5440y3 12240ca3 6800m3 |
Quadratic twists by: -4 8 -3 5 |