Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280f |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
205148160 |
Modular degree for the optimal curve |
Δ |
-1.3010626945768E+33 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7694716959,-1715876628001695] |
[a1,a2,a3,a4,a6] |
Generators |
[12027704910956174091914051289696318496047913523538796902829209:10869708134086013600556638905758325109194082161556637800832301392:14852132483824506350114043452359003123000498298112665399] |
Generators of the group modulo torsion |
j |
192203697666261893287480365959/4963160303408775168000000000 |
j-invariant |
L |
2.8233354990022 |
L(r)(E,1)/r! |
Ω |
0.0073913138416304 |
Real period |
R |
95.495048630603 |
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 |
41280dc1 1290h1 123840ct1 |
Quadratic twists by: -4 8 -3 |