Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200y |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7711451302500000000 = 28 · 36 · 510 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1856508,963799488] |
[a1,a2,a3,a4,a6] |
Generators |
[672:4488:1] |
Generators of the group modulo torsion |
j |
176910833958488656/1927862825625 |
j-invariant |
L |
8.9179048643312 |
L(r)(E,1)/r! |
Ω |
0.2352083859572 |
Real period |
R |
1.5797879299645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22440t2 |
Quadratic twists by: 5 |