Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090j |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
61450472739600 = 24 · 34 · 52 · 79 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24917,-1476579] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:239:1] |
Generators of the group modulo torsion |
j |
42399022303/1522800 |
j-invariant |
L |
4.5028149230286 |
L(r)(E,1)/r! |
Ω |
0.38083010066352 |
Real period |
R |
2.9559211014821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69090s1 |
Quadratic twists by: -7 |