Atkin-Lehner |
3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
1665c |
Isogeny class |
Conductor |
1665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-48379133563875 = -1 · 321 · 53 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21648,1270809] |
[a1,a2,a3,a4,a6] |
Generators |
[473:9841:1] |
Generators of the group modulo torsion |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
2.4204343293128 |
L(r)(E,1)/r! |
Ω |
0.63001407965824 |
Real period |
R |
0.96046834803511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26640bf1 106560co1 555b1 8325r1 |
Quadratic twists by: -4 8 -3 5 |