Atkin-Lehner |
3- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59409g |
Isogeny class |
Conductor |
59409 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2324258307 = -1 · 37 · 72 · 232 · 41 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-71580,7371157] |
[a1,a2,a3,a4,a6] |
Generators |
[187:724:1] |
Generators of the group modulo torsion |
j |
-55637968715776000/3188283 |
j-invariant |
L |
4.8003046793257 |
L(r)(E,1)/r! |
Ω |
1.0955049702659 |
Real period |
R |
0.5477273962113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19803b1 |
Quadratic twists by: -3 |