Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300r |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-5.4611490800928E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-918958,-1174055063] |
[a1,a2,a3,a4,a6] |
Generators |
[1932:65255:1] |
Generators of the group modulo torsion |
j |
-8582447853100000000/54611490800928087 |
j-invariant |
L |
3.9380762975818 |
L(r)(E,1)/r! |
Ω |
0.068759494484643 |
Real period |
R |
6.3636889185752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300bj1 |
Quadratic twists by: 5 |