Atkin-Lehner |
2- 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104880bg |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
166656000 |
Modular degree for the optimal curve |
Δ |
-8.5436109934781E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34359721616,-2451439919453760] |
[a1,a2,a3,a4,a6] |
Generators |
[7547485132794726661419232267776701610927434794219291914510454758020823888530274592633843072427677614351320014179:10573952204928732655364703153516585165860407240206328316153337323787090884192591185787041557744318261249414482459332:3810425444940263303160325537389631614342418099634476652747378922746762763182914098041094812789195199199299] |
Generators of the group modulo torsion |
j |
-1095248516670909925403006195052049/2085842527704615412039680 |
j-invariant |
L |
3.8823589064515 |
L(r)(E,1)/r! |
Ω |
0.0055444324959661 |
Real period |
R |
175.05664057034 |
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 |
13110bh1 |
Quadratic twists by: -4 |