Atkin-Lehner |
2+ 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680c |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32170009600 = 210 · 52 · 192 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-907,-6006] |
[a1,a2,a3,a4,a6] |
Generators |
[38:120:1] |
Generators of the group modulo torsion |
j |
80583405444/31416025 |
j-invariant |
L |
5.7149134100034 |
L(r)(E,1)/r! |
Ω |
0.89934813114918 |
Real period |
R |
3.1772531713369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011101 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44840b2 |
Quadratic twists by: -4 |