Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150b |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
6.7039016187986E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52403650,140576384500] |
[a1,a2,a3,a4,a6] |
Generators |
[67559879:3115988234:24389] |
Generators of the group modulo torsion |
j |
1018563973439611524445729/42904970360310988800 |
j-invariant |
L |
3.9475117964484 |
L(r)(E,1)/r! |
Ω |
0.089920346252679 |
Real period |
R |
10.975023898808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450cr1 6630w1 |
Quadratic twists by: -3 5 |