Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
4602a |
Isogeny class |
Conductor |
4602 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
453024 |
Modular degree for the optimal curve |
Δ |
-1.6623765581622E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 4 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37746035,-89296920339] |
[a1,a2,a3,a4,a6] |
Generators |
[175781888357266265777015693706802984972253428834450486976370:19575260230015313702261379022151675961965157108920263594545223:11451799510178287699130942513632433218384249076487302907] |
Generators of the group modulo torsion |
j |
-5947545113003117669770077625/1662376558162159337472 |
j-invariant |
L |
2.6416005353995 |
L(r)(E,1)/r! |
Ω |
0.030454006840725 |
Real period |
R |
86.740656138127 |
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 |
36816p1 13806h1 115050by1 59826p1 |
Quadratic twists by: -4 -3 5 13 |