Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960cd |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-8125142400000000 = -1 · 213 · 310 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49173,-1092454] |
[a1,a2,a3,a4,a6] |
Generators |
[157:-3240:1] |
Generators of the group modulo torsion |
j |
4403686064471/2721093750 |
j-invariant |
L |
4.5423499034368 |
L(r)(E,1)/r! |
Ω |
0.23953065560094 |
Real period |
R |
0.59261072085439 |
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 |
3870y4 123840ey3 10320s4 |
Quadratic twists by: -4 8 -3 |