Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480by |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-63516960000 = -1 · 28 · 34 · 54 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-820,-15400] |
[a1,a2,a3,a4,a6] |
Generators |
[55:330:1] |
Generators of the group modulo torsion |
j |
-238481570896/248113125 |
j-invariant |
L |
10.60766024105 |
L(r)(E,1)/r! |
Ω |
0.42826299023339 |
Real period |
R |
3.0961291542664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620c2 |
Quadratic twists by: -4 |