Atkin-Lehner |
3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989a |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3258161085963 = 3 · 72 · 536 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2202314,-1258878483] |
[a1,a2,a3,a4,a6] |
Generators |
[-3621462812161314074254035243159710:1816267036126910764551585108770121:4224570174959633607009767419000] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
6.1465168210997 |
L(r)(E,1)/r! |
Ω |
0.12393093298021 |
Real period |
R |
49.596308792688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21a5 |
Quadratic twists by: 53 |