Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880r |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17467208446791680 = 212 · 5 · 318 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-400096,-97066944] |
[a1,a2,a3,a4,a6] |
Generators |
[592362:7772626:729] |
Generators of the group modulo torsion |
j |
1948441249/4805 |
j-invariant |
L |
8.1806715076634 |
L(r)(E,1)/r! |
Ω |
0.18985532059991 |
Real period |
R |
10.772244202706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4805c2 2480j2 |
Quadratic twists by: -4 -31 |