Atkin-Lehner |
2+ 3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010l |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103936 |
Modular degree for the optimal curve |
Δ |
-337959843750 = -1 · 2 · 37 · 57 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1530,-16254] |
[a1,a2,a3,a4,a6] |
Generators |
[21:147:1] |
Generators of the group modulo torsion |
j |
543138763679/463593750 |
j-invariant |
L |
5.4019885254837 |
L(r)(E,1)/r! |
Ω |
0.53024883737825 |
Real period |
R |
2.5469120092108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29670bc1 |
Quadratic twists by: -3 |