Atkin-Lehner |
2- 3+ 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930y |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
263160 = 23 · 32 · 5 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 6 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
454756609/263160 |
j-invariant |
L |
6.8787669270388 |
L(r)(E,1)/r! |
Ω |
2.6191519846225 |
Real period |
R |
0.43772227088674 |
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 |
65790y1 109650w1 |
Quadratic twists by: -3 5 |