Atkin-Lehner |
2- 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540b |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-3302737200 = -1 · 24 · 33 · 52 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-528,-5427] |
[a1,a2,a3,a4,a6] |
j |
-37682675712/7645225 |
j-invariant |
L |
1.9704089051017 |
L(r)(E,1)/r! |
Ω |
0.49260215160179 |
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 |
99540d1 |
Quadratic twists by: -3 |