Atkin-Lehner |
3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bh |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-5547533490542302875 = -1 · 39 · 53 · 77 · 115 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11+ -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,338073,84363160] |
[a1,a2,a3,a4,a6] |
j |
5861754779874799616/7609785309385875 |
j-invariant |
L |
0.97154931473007 |
L(r)(E,1)/r! |
Ω |
0.16192488586603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19635f1 |
Quadratic twists by: -3 |