Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cw |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
120340174121514000 = 24 · 37 · 53 · 317 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2106212,1176933111] |
[a1,a2,a3,a4,a6] |
Generators |
[551:13269:1] |
Generators of the group modulo torsion |
j |
1597099875769/186000 |
j-invariant |
L |
13.219311050928 |
L(r)(E,1)/r! |
Ω |
0.31844399021724 |
Real period |
R |
3.4593501153752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995049 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28830g1 2790bb1 |
Quadratic twists by: -3 -31 |