Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976t |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-430848 = -1 · 28 · 32 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11,25] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
524288/1683 |
j-invariant |
L |
3.3383990181098 |
L(r)(E,1)/r! |
Ω |
2.1052661218995 |
Real period |
R |
0.39643432525977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2244c1 35904cj1 26928bi1 98736co1 |
Quadratic twists by: -4 8 -3 -11 |