Atkin-Lehner |
2- 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bj |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
24711734177349408 = 25 · 310 · 72 · 172 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102974,-10199635] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:649:1] |
Generators of the group modulo torsion |
j |
165643721535292057/33898126443552 |
j-invariant |
L |
12.0184606101 |
L(r)(E,1)/r! |
Ω |
0.2703446516265 |
Real period |
R |
1.1114017363676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134o2 |
Quadratic twists by: -3 |