Atkin-Lehner |
3- 5- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
56115p |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1235757515625 = 37 · 56 · 292 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -6 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6872,214346] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:679:1] |
Generators of the group modulo torsion |
j |
49225075067449/1695140625 |
j-invariant |
L |
3.7514944992383 |
L(r)(E,1)/r! |
Ω |
0.85724183970659 |
Real period |
R |
0.36468651798146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705f2 |
Quadratic twists by: -3 |