Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bb |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2363219712 = 28 · 39 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67527,6754050] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:1836:1] [42:1998:1] |
Generators of the group modulo torsion |
j |
6758103240432/469 |
j-invariant |
L |
7.85749676508 |
L(r)(E,1)/r! |
Ω |
1.102559648652 |
Real period |
R |
14.253191243987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16884f2 67536ba2 |
Quadratic twists by: -4 -3 |