Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400if |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-89413632000 = -1 · 214 · 34 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1112,2228] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-144:1] |
Generators of the group modulo torsion |
j |
296740963/174636 |
j-invariant |
L |
9.4808157724973 |
L(r)(E,1)/r! |
Ω |
0.65240359533751 |
Real period |
R |
0.90825830819157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550m1 92400ex1 |
Quadratic twists by: -4 5 |