Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512d |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-723354624 = -1 · 210 · 37 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-1294] |
[a1,a2,a3,a4,a6] |
Generators |
[11:2:1] |
Generators of the group modulo torsion |
j |
-4/969 |
j-invariant |
L |
6.6026202324694 |
L(r)(E,1)/r! |
Ω |
0.7338094376022 |
Real period |
R |
2.249432854821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23256a1 15504b1 |
Quadratic twists by: -4 -3 |