Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040be |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.6259358197268E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -1 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7387707,-10978162369] |
[a1,a2,a3,a4,a6] |
Generators |
[20587:2926125:1] |
Generators of the group modulo torsion |
j |
-158384129218816/93270234375 |
j-invariant |
L |
7.9897629256807 |
L(r)(E,1)/r! |
Ω |
0.044581859899616 |
Real period |
R |
1.6001389184857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bf1 6120f1 |
Quadratic twists by: -3 17 |