Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9912f |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
35249292288 = 210 · 35 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305872,65009648] |
[a1,a2,a3,a4,a6] |
j |
3090610984197296452/34423137 |
j-invariant |
L |
4.074376012397 |
L(r)(E,1)/r! |
Ω |
0.81487520247941 |
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 |
19824c3 79296c4 29736r4 69384f4 |
Quadratic twists by: -4 8 -3 -7 |