Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4284h |
Isogeny class |
Conductor |
4284 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-4197360384 = -1 · 28 · 39 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 -7 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,-2284] |
[a1,a2,a3,a4,a6] |
Generators |
[13:63:1] |
Generators of the group modulo torsion |
j |
17997824/22491 |
j-invariant |
L |
3.5187736385026 |
L(r)(E,1)/r! |
Ω |
0.74176678277081 |
Real period |
R |
1.1859433855202 |
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 |
17136bc1 68544cg1 1428c1 107100t1 |
Quadratic twists by: -4 8 -3 5 |