Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600x |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-7404592860000000 = -1 · 28 · 33 · 57 · 72 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,37492,3067488] |
[a1,a2,a3,a4,a6] |
j |
1457028215984/1851148215 |
j-invariant |
L |
3.368024495183 |
L(r)(E,1)/r! |
Ω |
0.28066869928227 |
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 |
19320s1 |
Quadratic twists by: 5 |