Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300z |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
441264933281250000 = 24 · 32 · 510 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190533,-1875312] |
[a1,a2,a3,a4,a6] |
j |
3059825077387264/1765059733125 |
j-invariant |
L |
0.49836629508129 |
L(r)(E,1)/r! |
Ω |
0.24918315093472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260d1 |
Quadratic twists by: 5 |