Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320cp |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7.4666861940534E+34 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6983871880,13148777941882100] |
[a1,a2,a3,a4,a6] |
Generators |
[475679325873961820905690042065816879135206912299354206509867085780:-312527065003088267510588922057965370741147772867318366532136463393274:1892120953980816130595626987239850751891000761915095689342625] |
Generators of the group modulo torsion |
j |
-9197134865683318400353506819721/18229214340950618962684554240000 |
j-invariant |
L |
9.6077810754218 |
L(r)(E,1)/r! |
Ω |
0.0087699996880166 |
Real period |
R |
91.294008145271 |
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 |
14790e4 |
Quadratic twists by: -4 |