Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760bb |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
3409920 |
Modular degree for the optimal curve |
Δ |
-1.6972444410055E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9882925,-15804146250] |
[a1,a2,a3,a4,a6] |
Generators |
[1975:106875:1] |
Generators of the group modulo torsion |
j |
6672063704612292461778944/10607777756284482421875 |
j-invariant |
L |
7.35192303511 |
L(r)(E,1)/r! |
Ω |
0.053715328413965 |
Real period |
R |
0.5702843778635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520k1 116280p1 |
Quadratic twists by: -4 -3 |