Atkin-Lehner |
2+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950l |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-43151245117187500 = -1 · 22 · 516 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89150,-14350000] |
[a1,a2,a3,a4,a6] |
j |
-5015050843619809/2761679687500 |
j-invariant |
L |
2.155107398974 |
L(r)(E,1)/r! |
Ω |
0.1346942126719 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590n2 |
Quadratic twists by: 5 |