Atkin-Lehner |
5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525j |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-25800235671875 = -1 · 56 · 72 · 173 · 193 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-60333,-5689182] |
[a1,a2,a3,a4,a6] |
Generators |
[952:28262:1] |
Generators of the group modulo torsion |
j |
-1554446024704000/1651215083 |
j-invariant |
L |
3.086736829498 |
L(r)(E,1)/r! |
Ω |
0.15230093436277 |
Real period |
R |
0.56298203335283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261d2 |
Quadratic twists by: 5 |