Atkin-Lehner |
2- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27550t |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-9945550 = -1 · 2 · 52 · 193 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 1 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25,-153] |
[a1,a2,a3,a4,a6] |
Generators |
[236064:-56105:32768] |
Generators of the group modulo torsion |
j |
-66560265/397822 |
j-invariant |
L |
8.9328010147728 |
L(r)(E,1)/r! |
Ω |
0.95816755897784 |
Real period |
R |
9.3227963429509 |
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 |
27550n1 |
Quadratic twists by: 5 |