Atkin-Lehner |
2- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27550u |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
48713978875000000 = 26 · 59 · 19 · 295 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -5 -2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-157713,21629417] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1379:1] |
Generators of the group modulo torsion |
j |
27765553597261129/3117694648000 |
j-invariant |
L |
9.4704133211872 |
L(r)(E,1)/r! |
Ω |
0.34582615008894 |
Real period |
R |
0.4564149413779 |
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 |
5510b1 |
Quadratic twists by: 5 |