Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848x |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92410430474944512 = 225 · 34 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3531169,2552810687] |
[a1,a2,a3,a4,a6] |
j |
18575453384550358633/352517816448 |
j-invariant |
L |
2.4932284966522 |
L(r)(E,1)/r! |
Ω |
0.31165356208152 |
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 |
22848cd2 714a2 68544bp2 |
Quadratic twists by: -4 8 -3 |