Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58824g |
Isogeny class |
Conductor |
58824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9003307790592 = 28 · 316 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38487,2902570] |
[a1,a2,a3,a4,a6] |
Generators |
[159:896:1] |
Generators of the group modulo torsion |
j |
33783014380624/48243033 |
j-invariant |
L |
5.8656449956988 |
L(r)(E,1)/r! |
Ω |
0.73015305235485 |
Real period |
R |
4.0167229164224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648e2 19608h2 |
Quadratic twists by: -4 -3 |