Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9594l |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
9728316 = 22 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 5 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1388,20243] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-5:1] |
Generators of the group modulo torsion |
j |
10945484159427/360308 |
j-invariant |
L |
6.8162073529443 |
L(r)(E,1)/r! |
Ω |
2.1449292249152 |
Real period |
R |
0.79445597479024 |
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 |
76752bg1 9594b1 124722c1 |
Quadratic twists by: -4 -3 13 |