Atkin-Lehner |
3+ 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
10815b |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
280831104225 = 32 · 52 · 76 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1936,19808] |
[a1,a2,a3,a4,a6] |
j |
802516169081089/280831104225 |
j-invariant |
L |
0.89628708312448 |
L(r)(E,1)/r! |
Ω |
0.89628708312448 |
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 |
32445o2 54075u2 75705w2 |
Quadratic twists by: -3 5 -7 |