Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654bf |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-735580559703751776 = -1 · 25 · 39 · 73 · 237 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 6 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53162219,149207777947] |
[a1,a2,a3,a4,a6] |
Generators |
[4951:83222:1] |
Generators of the group modulo torsion |
j |
-5702623460245179/252448 |
j-invariant |
L |
8.2055864413273 |
L(r)(E,1)/r! |
Ω |
0.21214787309856 |
Real period |
R |
0.96696543799062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66654b1 2898m2 |
Quadratic twists by: -3 -23 |