Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736dj |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-37676040192 = -1 · 214 · 33 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -5 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,-2592] |
[a1,a2,a3,a4,a6] |
Generators |
[996:7539:64] |
Generators of the group modulo torsion |
j |
135834624/85169 |
j-invariant |
L |
7.7574540533986 |
L(r)(E,1)/r! |
Ω |
0.66425097526945 |
Real period |
R |
5.8392492699569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736i1 23184a1 92736do1 |
Quadratic twists by: -4 8 -3 |