Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bl |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
9.7627565763823E+18 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2938383,-1932863310] |
[a1,a2,a3,a4,a6] |
Generators |
[-15353975:-37274986:15625] |
Generators of the group modulo torsion |
j |
4732922819952/16468459 |
j-invariant |
L |
9.1019874478214 |
L(r)(E,1)/r! |
Ω |
0.11533558517136 |
Real period |
R |
9.8646781843319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032d1 9576o1 |
Quadratic twists by: -3 -7 |