Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100g |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
3345683020000000 = 28 · 57 · 193 · 293 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51508,-3518488] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:-950:1] |
Generators of the group modulo torsion |
j |
3778298043856/836420755 |
j-invariant |
L |
4.2293972138291 |
L(r)(E,1)/r! |
Ω |
0.3219114865922 |
Real period |
R |
0.36495515330399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11020e2 |
Quadratic twists by: 5 |