Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270k |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19636224 |
Modular degree for the optimal curve |
Δ |
4.6020913869575E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 3 4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-455625073,-3741957021052] |
[a1,a2,a3,a4,a6] |
j |
439302518441971081/193273528320 |
j-invariant |
L |
3.5292536616264 |
L(r)(E,1)/r! |
Ω |
0.032678274637601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66270i1 |
Quadratic twists by: -47 |