Atkin-Lehner |
3- 11+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75933a |
Isogeny class |
Conductor |
75933 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
202968909 = 37 · 112 · 13 · 59 |
Discriminant |
Eigenvalues |
0 3- 1 -2 11+ 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,-761] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:-103:8] [-7:15:1] |
Generators of the group modulo torsion |
j |
1073741824/278421 |
j-invariant |
L |
8.8792445539663 |
L(r)(E,1)/r! |
Ω |
1.3071737080661 |
Real period |
R |
0.84908804576306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25311b1 |
Quadratic twists by: -3 |