Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
111630p |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63684000 |
Modular degree for the optimal curve |
Δ |
-1.0487388420656E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-418160476,3641260683923] |
[a1,a2,a3,a4,a6] |
Generators |
[8281810519942540041583246694858274555323445822887039744970615925134:730274628370167714673744972549531245286984695444549872871912706820021:420273775176203321702036897762620439762151162733872771176738792] |
Generators of the group modulo torsion |
j |
-691487193777589/89680668750 |
j-invariant |
L |
9.5317376875168 |
L(r)(E,1)/r! |
Ω |
0.047687816120592 |
Real period |
R |
99.938920073558 |
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 |
111630b1 |
Quadratic twists by: 61 |