Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bw |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
13351716000000 = 28 · 34 · 56 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9108,-287712] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:174:1] |
Generators of the group modulo torsion |
j |
20892021712/3337929 |
j-invariant |
L |
7.7674136843652 |
L(r)(E,1)/r! |
Ω |
0.49397228506498 |
Real period |
R |
0.98277447178915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077032 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4872d2 |
Quadratic twists by: 5 |