Atkin-Lehner |
2+ 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bt |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-116153473373437500 = -1 · 22 · 39 · 58 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,116766,5717088] |
[a1,a2,a3,a4,a6] |
Generators |
[202:-6226:1] |
Generators of the group modulo torsion |
j |
241514550501430751/159332610937500 |
j-invariant |
L |
5.7856213840752 |
L(r)(E,1)/r! |
Ω |
0.20822111377042 |
Real period |
R |
0.86831092599043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bm1 |
Quadratic twists by: -3 |