Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650cc |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-200438550 = -1 · 2 · 38 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33,-699] |
[a1,a2,a3,a4,a6] |
j |
-159275065/8017542 |
j-invariant |
L |
6.2633513445223 |
L(r)(E,1)/r! |
Ω |
0.78291893589952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650bw1 |
Quadratic twists by: 5 |