Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696t |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
456261632 = 217 · 592 |
Discriminant |
Eigenvalues |
2- 2 0 1 0 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-688,7104] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:96:1] |
Generators of the group modulo torsion |
j |
2529625/32 |
j-invariant |
L |
9.8563060988357 |
L(r)(E,1)/r! |
Ω |
1.6728727243968 |
Real period |
R |
1.4729611456888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962n1 55696u1 |
Quadratic twists by: -4 -59 |