Atkin-Lehner |
2- 3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530s |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2943681838188280200 = -1 · 23 · 316 · 52 · 112 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-100705,-83500825] |
[a1,a2,a3,a4,a6] |
Generators |
[933:24748:1] |
Generators of the group modulo torsion |
j |
-112947619746409042321/2943681838188280200 |
j-invariant |
L |
5.6588269396341 |
L(r)(E,1)/r! |
Ω |
0.11004385785356 |
Real period |
R |
2.1426407653925 |
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 |
108240cf3 40590l3 67650bk3 |
Quadratic twists by: -4 -3 5 |