Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736bj |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-183174782386176 = -1 · 217 · 311 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14124,917296] |
[a1,a2,a3,a4,a6] |
j |
-3261064466/1917027 |
j-invariant |
L |
2.1090004316643 |
L(r)(E,1)/r! |
Ω |
0.52725011779884 |
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 |
92736fs1 11592n1 30912x1 |
Quadratic twists by: -4 8 -3 |