Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610d |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-2098140 = -1 · 22 · 3 · 5 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27,57] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
2053225511/2098140 |
j-invariant |
L |
2.0809031793083 |
L(r)(E,1)/r! |
Ω |
1.723405793958 |
Real period |
R |
0.60371828463257 |
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 |
44880cc1 16830ck1 28050dg1 61710bo1 |
Quadratic twists by: -4 -3 5 -11 |