Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850f |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2749876254562500 = 22 · 39 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-154617,-23225959] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:459:1] [670:12841:1] |
Generators of the group modulo torsion |
j |
1329185824875/8941324 |
j-invariant |
L |
7.325044505133 |
L(r)(E,1)/r! |
Ω |
0.24085804192833 |
Real period |
R |
7.603072380822 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850ds1 2394g3 |
Quadratic twists by: -3 5 |