Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610k |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
1022422500 = 22 · 37 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8504,301106] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-377:1] |
Generators of the group modulo torsion |
j |
68001744211490809/1022422500 |
j-invariant |
L |
3.3123111042312 |
L(r)(E,1)/r! |
Ω |
1.4252892397165 |
Real period |
R |
0.33199387704532 |
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 |
44880bj1 16830cs1 28050bx1 61710ci1 |
Quadratic twists by: -4 -3 5 -11 |