Atkin-Lehner |
7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
87451d |
Isogeny class |
Conductor |
87451 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-465581671803655771 = -1 · 79 · 13 · 316 |
Discriminant |
Eigenvalues |
0 2 -3 7- 0 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-112757,35955877] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:6688:1] |
Generators of the group modulo torsion |
j |
-178643795968/524596891 |
j-invariant |
L |
5.6464019705116 |
L(r)(E,1)/r! |
Ω |
0.26050079830543 |
Real period |
R |
2.4083534499712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91b3 |
Quadratic twists by: -31 |