Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736dg |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
297226281074688 = 214 · 33 · 74 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151548,22692560] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:5635:1] |
Generators of the group modulo torsion |
j |
870143011569648/671898241 |
j-invariant |
L |
9.1448241422159 |
L(r)(E,1)/r! |
Ω |
0.54200583794841 |
Real period |
R |
2.1090234466012 |
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 |
92736q2 23184bc2 92736cz2 |
Quadratic twists by: -4 8 -3 |