Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780y |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
1.4965791485342E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27958512,56897863441] |
[a1,a2,a3,a4,a6] |
Generators |
[-3490:334611:1] |
Generators of the group modulo torsion |
j |
207213650848585046032384/12830754016925325 |
j-invariant |
L |
7.2133301838617 |
L(r)(E,1)/r! |
Ω |
0.17343312933032 |
Real period |
R |
3.4659516954821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260i1 |
Quadratic twists by: -3 |