Atkin-Lehner |
2- 37- |
Signs for the Atkin-Lehner involutions |
Class |
592d |
Isogeny class |
Conductor |
592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
9472 = 28 · 37 |
Discriminant |
Eigenvalues |
2- 1 -4 3 -5 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
65536/37 |
j-invariant |
L |
2.057930568822 |
L(r)(E,1)/r! |
Ω |
3.5284992324841 |
Real period |
R |
0.29161556135201 |
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 |
148a1 2368l1 5328w1 14800n1 |
Quadratic twists by: -4 8 -3 5 |