Atkin-Lehner |
5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825t |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
284160 |
Modular degree for the optimal curve |
Δ |
-68684647983875 = -1 · 53 · 76 · 115 · 29 |
Discriminant |
Eigenvalues |
0 -3 5- 7+ 11- 5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9620,-164619] |
[a1,a2,a3,a4,a6] |
Generators |
[25:302:1] [65:-858:1] |
Generators of the group modulo torsion |
j |
787660225118208/549477183871 |
j-invariant |
L |
5.3180127643192 |
L(r)(E,1)/r! |
Ω |
0.34864948745194 |
Real period |
R |
0.76265891041225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55825z1 |
Quadratic twists by: 5 |