Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bu |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1412437500000000 = -1 · 28 · 36 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27825,-279250] |
[a1,a2,a3,a4,a6] |
Generators |
[1630:66150:1] |
Generators of the group modulo torsion |
j |
817036976/484375 |
j-invariant |
L |
5.3190379611989 |
L(r)(E,1)/r! |
Ω |
0.28075979761177 |
Real period |
R |
4.7362888427588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999501854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800bw2 12400h2 22320s2 |
Quadratic twists by: -4 -3 5 |