Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960bc |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
371615040000 = 29 · 39 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153003,-23035502] |
[a1,a2,a3,a4,a6] |
Generators |
[19157094:-2297435350:1331] |
Generators of the group modulo torsion |
j |
1061270425224008/995625 |
j-invariant |
L |
6.1682751791571 |
L(r)(E,1)/r! |
Ω |
0.24139295577157 |
Real period |
R |
12.776419173407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84960bf4 28320p4 |
Quadratic twists by: -4 -3 |