Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288z |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-45742386543399936 = -1 · 210 · 35 · 134 · 235 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -4 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31152,-10495044] |
[a1,a2,a3,a4,a6] |
j |
-114319966852/1564031349 |
j-invariant |
L |
0.92129389972257 |
L(r)(E,1)/r! |
Ω |
0.1535489828259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93288d1 |
Quadratic twists by: 13 |