Atkin-Lehner |
2+ 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13570b |
Isogeny class |
Conductor |
13570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-800630000 = -1 · 24 · 54 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,221,453] |
[a1,a2,a3,a4,a6] |
Generators |
[2:29:1] |
Generators of the group modulo torsion |
j |
1190678951799/800630000 |
j-invariant |
L |
3.7157807822915 |
L(r)(E,1)/r! |
Ω |
1.0003128454771 |
Real period |
R |
0.92865467015955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108560m1 122130bq1 67850p1 |
Quadratic twists by: -4 -3 5 |