Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320i |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-112910114400000000 = -1 · 211 · 3 · 58 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29000,16287852] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:3850:1] |
Generators of the group modulo torsion |
j |
-27995042/1171875 |
j-invariant |
L |
4.0796419013189 |
L(r)(E,1)/r! |
Ω |
0.27677746435917 |
Real period |
R |
3.6849476805885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640ba5 129960cg5 120a6 |
Quadratic twists by: -4 -3 -19 |