Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736dg |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-84314780347392 = -1 · 210 · 33 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7488,507320] |
[a1,a2,a3,a4,a6] |
Generators |
[1090:35880:1] |
Generators of the group modulo torsion |
j |
-1679412953088/3049579729 |
j-invariant |
L |
9.1448241422159 |
L(r)(E,1)/r! |
Ω |
0.54200583794841 |
Real period |
R |
4.2180468932024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736q1 23184bc1 92736cz1 |
Quadratic twists by: -4 8 -3 |