Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576p |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-142820099619913728 = -1 · 215 · 316 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146680,-28202384] |
[a1,a2,a3,a4,a6] |
Generators |
[986:28014:1] [2282:107310:1] |
Generators of the group modulo torsion |
j |
-85207815018988921/34868188383768 |
j-invariant |
L |
7.6460561955443 |
L(r)(E,1)/r! |
Ω |
0.11957269743162 |
Real period |
R |
31.972416612606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322f2 |
Quadratic twists by: -4 |