Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270w |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37094400 |
Modular degree for the optimal curve |
Δ |
-3.4340479939901E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -2 -5 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103372410,-493134994665] |
[a1,a2,a3,a4,a6] |
j |
-11333146141863707329/3185805171505680 |
j-invariant |
L |
1.6800147393701 |
L(r)(E,1)/r! |
Ω |
0.023333538031655 |
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 |
1410i1 |
Quadratic twists by: -47 |