Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bj |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1790214769115136000 = 218 · 36 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2049841,1127602628] |
[a1,a2,a3,a4,a6] |
Generators |
[748:3227:1] |
Generators of the group modulo torsion |
j |
7620332490460668835709/14321718152921088 |
j-invariant |
L |
4.1656203545682 |
L(r)(E,1)/r! |
Ω |
0.26476343506026 |
Real period |
R |
1.3111139363649 |
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 |
109200ep1 40950ex1 13650cf1 95550co1 |
Quadratic twists by: -4 -3 5 -7 |