Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930n |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
256987510488900 = 22 · 32 · 52 · 174 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1781204,-915142498] |
[a1,a2,a3,a4,a6] |
j |
624977448773431992007609/256987510488900 |
j-invariant |
L |
2.3523052847172 |
L(r)(E,1)/r! |
Ω |
0.13068362692873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65790cs2 109650cg2 |
Quadratic twists by: -3 5 |