Atkin-Lehner |
3- 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
66297l |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-198891 = -1 · 32 · 72 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
-3451273/4059 |
j-invariant |
L |
6.0613788625313 |
L(r)(E,1)/r! |
Ω |
2.877620471039 |
Real period |
R |
1.0531928938024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66297c1 |
Quadratic twists by: -7 |