Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14960q |
Isogeny class |
Conductor |
14960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-84254720 = -1 · 213 · 5 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- -4 11- -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80,320] |
[a1,a2,a3,a4,a6] |
Generators |
[2:22:1] |
Generators of the group modulo torsion |
j |
13651919/20570 |
j-invariant |
L |
3.2361919356115 |
L(r)(E,1)/r! |
Ω |
1.3038012382488 |
Real period |
R |
0.6205301545729 |
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 |
1870g1 59840y1 74800bw1 |
Quadratic twists by: -4 8 5 |