Atkin-Lehner |
3- 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50445b |
Isogeny class |
Conductor |
50445 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1855084860225 = 310 · 52 · 192 · 592 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16830,-833625] |
[a1,a2,a3,a4,a6] |
j |
723207709018081/2544698025 |
j-invariant |
L |
3.3539701646056 |
L(r)(E,1)/r! |
Ω |
0.41924627076444 |
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 |
16815e2 |
Quadratic twists by: -3 |