Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640f |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
1.243407361874E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261621740,-1619819613900] |
[a1,a2,a3,a4,a6] |
Generators |
[2977404830:567078655000:68921] |
Generators of the group modulo torsion |
j |
7735800083347101743363021776/48570600073203535640625 |
j-invariant |
L |
4.1457223025304 |
L(r)(E,1)/r! |
Ω |
0.037553062407162 |
Real period |
R |
6.1331324513286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59280u2 88920bg2 |
Quadratic twists by: -4 -3 |