Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200g |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-149045750000 = -1 · 24 · 56 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 2 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1325,-625] |
[a1,a2,a3,a4,a6] |
j |
1029037824/596183 |
j-invariant |
L |
4.8947069123054 |
L(r)(E,1)/r! |
Ω |
0.61183836403914 |
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 |
64400n1 1288h1 |
Quadratic twists by: -4 5 |