Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110bl |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1068620800 = -1 · 210 · 52 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10,1572] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-42:1] |
Generators of the group modulo torsion |
j |
-50653/486400 |
j-invariant |
L |
5.7848663354657 |
L(r)(E,1)/r! |
Ω |
1.2428910608765 |
Real period |
R |
0.4654363135725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32110j1 |
Quadratic twists by: 13 |