Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712h |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31744323536027648 = 227 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29533313,-61765669759] |
[a1,a2,a3,a4,a6] |
Generators |
[121713887606097522347015593:5896709773259514138671838720:16367177251121427252361] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
9.6267345100615 |
L(r)(E,1)/r! |
Ω |
0.064762187801828 |
Real period |
R |
37.161864180035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75712cy6 2366j6 448c6 |
Quadratic twists by: -4 8 13 |