Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99176b |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-5238674672 = -1 · 24 · 76 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11+ -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,4577] |
[a1,a2,a3,a4,a6] |
Generators |
[16:49:1] [4:55:1] |
Generators of the group modulo torsion |
j |
-4000000/2783 |
j-invariant |
L |
12.99972539392 |
L(r)(E,1)/r! |
Ω |
1.2537864474438 |
Real period |
R |
1.2960466095028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2024a1 |
Quadratic twists by: -7 |