Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090w |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-7849315393920000 = -1 · 210 · 36 · 54 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16170,-4331404] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-5684:1] |
Generators of the group modulo torsion |
j |
-641418306895521/10767236480000 |
j-invariant |
L |
3.534646203842 |
L(r)(E,1)/r! |
Ω |
0.17869055379128 |
Real period |
R |
0.82420095533477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010y1 |
Quadratic twists by: -3 |