Atkin-Lehner |
2- 3+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28968h |
Isogeny class |
Conductor |
28968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-173808 = -1 · 24 · 32 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 3 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
10976000/10863 |
j-invariant |
L |
4.1714792702242 |
L(r)(E,1)/r! |
Ω |
2.1150156454251 |
Real period |
R |
0.4930790085699 |
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 |
57936i1 86904d1 |
Quadratic twists by: -4 -3 |