Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9912f |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1474602964595712 = -1 · 210 · 320 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10872,1894752] |
[a1,a2,a3,a4,a6] |
j |
-138800820116452/1440041957613 |
j-invariant |
L |
4.074376012397 |
L(r)(E,1)/r! |
Ω |
0.4074376012397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19824c4 79296c3 29736r3 69384f3 |
Quadratic twists by: -4 8 -3 -7 |