Atkin-Lehner |
2+ 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264q |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-686112768 = -1 · 214 · 34 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11+ 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209,1647] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:24:1] [7:-24:1] |
Generators of the group modulo torsion |
j |
-61918288/41877 |
j-invariant |
L |
11.961618468338 |
L(r)(E,1)/r! |
Ω |
1.4866258200481 |
Real period |
R |
0.50288454850541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264bp1 6204c1 |
Quadratic twists by: -4 8 |