Atkin-Lehner |
2+ 3- 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814i |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3311616 |
Modular degree for the optimal curve |
Δ |
-5.8924346862274E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2816199,2162395521] |
[a1,a2,a3,a4,a6] |
Generators |
[-1650:48939:1] |
Generators of the group modulo torsion |
j |
-3388334598184031557489/808290080415283284 |
j-invariant |
L |
4.3265848182172 |
L(r)(E,1)/r! |
Ω |
0.15562810996807 |
Real period |
R |
3.4750990816486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28938l1 |
Quadratic twists by: -3 |