Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2210a |
Isogeny class |
Conductor |
2210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1202240000 = 29 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35507,-2590099] |
[a1,a2,a3,a4,a6] |
Generators |
[235:1336:1] |
Generators of the group modulo torsion |
j |
4950906946375997881/1202240000 |
j-invariant |
L |
3.0777102440435 |
L(r)(E,1)/r! |
Ω |
0.34779190818031 |
Real period |
R |
4.4246432588763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17680n2 70720d2 19890ba2 11050m2 |
Quadratic twists by: -4 8 -3 5 |