Atkin-Lehner |
5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55825a |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2519716436767578125 = 514 · 76 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 11+ 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-356213,-29414708] |
[a1,a2,a3,a4,a6] |
Generators |
[-513:4544:1] |
Generators of the group modulo torsion |
j |
319913861015774089/161261851953125 |
j-invariant |
L |
1.7024005242917 |
L(r)(E,1)/r! |
Ω |
0.20604238310339 |
Real period |
R |
2.0655950715142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165b2 |
Quadratic twists by: 5 |