Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196i |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2.4307112632884E+19 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1160051009,-15207320543194] |
[a1,a2,a3,a4,a6] |
Generators |
[60105320427067656543133728486431979887583610568502121749914251927600029728836769162456029973752588558892517784882095183311524577977186360653052983763781869106028304002695458371327331720013806093286188420073024530:5157854076029863780287406435617401329864032892806254378763789755084821405392332590895874635320546527477628993654485958723513535413310945212752912355990797281224626267537763827040881031022271685791821406429835777416:1404806696711948889807424536761716947747776567647133103989626689101812716823436414815462303439832698336474822840307778050533819783341301934434806010772876741276362336229114224469333578215847777873791541808709] |
Generators of the group modulo torsion |
j |
-5352365646070693888/753571 |
j-invariant |
L |
12.76735812298 |
L(r)(E,1)/r! |
Ω |
0.012934519129007 |
Real period |
R |
329.02545495096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105196r2 |
Quadratic twists by: 17 |