Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960g |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
10481433696000000 = 211 · 311 · 56 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77187,-6623134] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:810:1] |
Generators of the group modulo torsion |
j |
34064240990978/7020421875 |
j-invariant |
L |
6.3083487937565 |
L(r)(E,1)/r! |
Ω |
0.29057956057387 |
Real period |
R |
0.90456419538738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15480f2 123840fa2 10320a2 |
Quadratic twists by: -4 8 -3 |