Atkin-Lehner |
2- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20618j |
Isogeny class |
Conductor |
20618 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
10556416 = 210 · 132 · 61 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 -4 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-318,2253] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-181:1] [1:43:1] |
Generators of the group modulo torsion |
j |
20981541321/62464 |
j-invariant |
L |
6.003850482574 |
L(r)(E,1)/r! |
Ω |
2.2901530859189 |
Real period |
R |
0.26215935168211 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20618c1 |
Quadratic twists by: 13 |