Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850m |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
175992080292000000 = 28 · 39 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31430742,-67815619084] |
[a1,a2,a3,a4,a6] |
j |
11165451838341046875/572244736 |
j-invariant |
L |
2.295426533732 |
L(r)(E,1)/r! |
Ω |
0.063761848186769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850ea1 2394h3 |
Quadratic twists by: -3 5 |