Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33060a |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1991808 |
Modular degree for the optimal curve |
Δ |
-9.3117154365234E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -5 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6060306,5929086981] |
[a1,a2,a3,a4,a6] |
Generators |
[-4983:2265625:27] |
Generators of the group modulo torsion |
j |
-1538464435391982871439104/58198221478271484375 |
j-invariant |
L |
4.0372304937343 |
L(r)(E,1)/r! |
Ω |
0.15601124432393 |
Real period |
R |
2.1564847837462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99180w1 |
Quadratic twists by: -3 |