Atkin-Lehner |
2- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584bp |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-747421696 = -1 · 214 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ -1 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,-784] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] [8:36:1] |
Generators of the group modulo torsion |
j |
21168/19 |
j-invariant |
L |
7.9300821450499 |
L(r)(E,1)/r! |
Ω |
0.87841801040367 |
Real period |
R |
4.5138430969784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584l1 14896h1 59584cv1 |
Quadratic twists by: -4 8 -7 |