Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400gn |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-2804011499520000000 = -1 · 224 · 34 · 57 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-381008,-121308012] |
[a1,a2,a3,a4,a6] |
j |
-95575628340361/43812679680 |
j-invariant |
L |
3.0081409299296 |
L(r)(E,1)/r! |
Ω |
0.094004409407982 |
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 |
11550bq1 18480cj1 |
Quadratic twists by: -4 5 |