Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cd |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
-3.88639824216E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 4 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,487812,269954781] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-19303:1] |
Generators of the group modulo torsion |
j |
821601208240129799/2487294874982400 |
j-invariant |
L |
8.5969729361726 |
L(r)(E,1)/r! |
Ω |
0.14429851574141 |
Real period |
R |
1.3540385189973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130s2 |
Quadratic twists by: 5 |