Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bi |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-911245137884928 = -1 · 28 · 36 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5145,-1445402] |
[a1,a2,a3,a4,a6] |
Generators |
[52345:1076328:125] |
Generators of the group modulo torsion |
j |
2000/121 |
j-invariant |
L |
6.1103174456446 |
L(r)(E,1)/r! |
Ω |
0.23763868678852 |
Real period |
R |
6.4281594115789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808bd2 8624j2 77616bh2 |
Quadratic twists by: -4 -3 -7 |