Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bl |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-71104837500000000 = -1 · 28 · 39 · 511 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17255,-12854753] |
[a1,a2,a3,a4,a6] |
j |
-1847284083/231200000 |
j-invariant |
L |
4.9153416036212 |
L(r)(E,1)/r! |
Ω |
0.15360442511316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200di1 7650e1 1530a1 |
Quadratic twists by: -4 -3 5 |