Atkin-Lehner |
2- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85904n |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1057536 |
Modular degree for the optimal curve |
Δ |
-166065773277424384 = -1 · 28 · 7 · 133 · 596 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 6 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27971,19514241] |
[a1,a2,a3,a4,a6] |
Generators |
[-2184930:24029343:10648] |
Generators of the group modulo torsion |
j |
9453490668904448/648694426864939 |
j-invariant |
L |
13.090470514307 |
L(r)(E,1)/r! |
Ω |
0.24607900486556 |
Real period |
R |
4.4330175318957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21476j1 |
Quadratic twists by: -4 |