Atkin-Lehner |
2+ 3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950r |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
2312388000000 = 28 · 36 · 56 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301226,63608348] |
[a1,a2,a3,a4,a6] |
Generators |
[333:337:1] |
Generators of the group modulo torsion |
j |
193454563071992977/147992832 |
j-invariant |
L |
5.547168621577 |
L(r)(E,1)/r! |
Ω |
0.68082089344451 |
Real period |
R |
1.3579608325659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999600446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758g1 |
Quadratic twists by: 5 |