Atkin-Lehner |
3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
32445o |
Isogeny class |
Conductor |
32445 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
204725874980025 = 38 · 52 · 76 · 1032 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17424,-552245] |
[a1,a2,a3,a4,a6] |
j |
802516169081089/280831104225 |
j-invariant |
L |
3.4197810923205 |
L(r)(E,1)/r! |
Ω |
0.42747263653982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10815b2 |
Quadratic twists by: -3 |