Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9594b |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
7091942364 = 22 · 39 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -5 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12489,-534079] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:33:1] |
Generators of the group modulo torsion |
j |
10945484159427/360308 |
j-invariant |
L |
3.6080814037119 |
L(r)(E,1)/r! |
Ω |
0.45161344833095 |
Real period |
R |
1.9973283662424 |
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 |
76752y1 9594l1 124722be1 |
Quadratic twists by: -4 -3 13 |