Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200bb |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
8224031250000 = 24 · 36 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7950,-235375] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:171:1] |
Generators of the group modulo torsion |
j |
304900096/45125 |
j-invariant |
L |
5.6503212929066 |
L(r)(E,1)/r! |
Ω |
0.51060716400078 |
Real period |
R |
2.7664718061507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400bg1 3800h1 6840s1 |
Quadratic twists by: -4 -3 5 |