Atkin-Lehner |
3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4485g |
Isogeny class |
Conductor |
4485 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-1009125 = -1 · 33 · 53 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 -3 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21,31] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
1095912791/1009125 |
j-invariant |
L |
5.0057995332364 |
L(r)(E,1)/r! |
Ω |
1.8144665155369 |
Real period |
R |
0.91960905870916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71760bb1 13455m1 22425c1 58305k1 |
Quadratic twists by: -4 -3 5 13 |