Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1170d |
Isogeny class |
Conductor |
1170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-53520092604810 = -1 · 2 · 38 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1035,352471] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:608:1] |
Generators of the group modulo torsion |
j |
-168288035761/73415764890 |
j-invariant |
L |
1.8662533162937 |
L(r)(E,1)/r! |
Ω |
0.51126478753169 |
Real period |
R |
0.91256691337168 |
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 |
9360bn6 37440cb5 390b6 5850bm6 |
Quadratic twists by: -4 8 -3 5 |