Atkin-Lehner |
3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4485a |
Isogeny class |
Conductor |
4485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-5738086575 = -1 · 310 · 52 · 132 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1041,-13866] |
[a1,a2,a3,a4,a6] |
Generators |
[89:735:1] |
Generators of the group modulo torsion |
j |
-124767644120209/5738086575 |
j-invariant |
L |
2.1766278113035 |
L(r)(E,1)/r! |
Ω |
0.41912130976654 |
Real period |
R |
2.5966561000155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760br1 13455l1 22425r1 58305f1 |
Quadratic twists by: -4 -3 5 13 |