Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736ft |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-445048224768 = -1 · 210 · 36 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1908,-1080] |
[a1,a2,a3,a4,a6] |
Generators |
[13:161:1] |
Generators of the group modulo torsion |
j |
1029037824/596183 |
j-invariant |
L |
2.8744809263296 |
L(r)(E,1)/r! |
Ω |
0.55852945588549 |
Real period |
R |
0.85775271111653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736bk1 23184s1 10304bi1 |
Quadratic twists by: -4 8 -3 |