Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100d |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-168780500000000 = -1 · 28 · 59 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11825,381750] |
[a1,a2,a3,a4,a6] |
Generators |
[15:750:1] |
Generators of the group modulo torsion |
j |
45715888944/42195125 |
j-invariant |
L |
5.2284270616169 |
L(r)(E,1)/r! |
Ω |
0.37459887207497 |
Real period |
R |
1.1631168367444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11620f2 |
Quadratic twists by: 5 |