Atkin-Lehner |
3+ 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
66297d |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2895552 |
Modular degree for the optimal curve |
Δ |
-4111702425218496339 = -1 · 322 · 74 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11- -1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14723962,-21752642374] |
[a1,a2,a3,a4,a6] |
j |
-147029885060010459316033/1712495803922739 |
j-invariant |
L |
0.69364232941228 |
L(r)(E,1)/r! |
Ω |
0.038535685007556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66297s1 |
Quadratic twists by: -7 |