Atkin-Lehner |
2+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2002b |
Isogeny class |
Conductor |
2002 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1827958132 = -1 · 22 · 74 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,154,-1960] |
[a1,a2,a3,a4,a6] |
j |
402437650887/1827958132 |
j-invariant |
L |
1.4990295361451 |
L(r)(E,1)/r! |
Ω |
0.74951476807256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16016g4 64064k3 18018bo4 50050bj3 |
Quadratic twists by: -4 8 -3 5 |