Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bk |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-565102137600000 = -1 · 211 · 36 · 55 · 7 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-177549,28862693] |
[a1,a2,a3,a4,a6] |
j |
-849087117004123089/775174400000 |
j-invariant |
L |
2.5738184377395 |
L(r)(E,1)/r! |
Ω |
0.51476369651918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10010r1 |
Quadratic twists by: -3 |