Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610q |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-2524500 = -1 · 22 · 33 · 53 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103,398] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:20:1] |
Generators of the group modulo torsion |
j |
-119168121961/2524500 |
j-invariant |
L |
3.5265865069973 |
L(r)(E,1)/r! |
Ω |
2.5704077960932 |
Real period |
R |
0.68599747331094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44880bw1 16830cg1 28050cb1 61710cy1 |
Quadratic twists by: -4 -3 5 -11 |