Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fa |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2077650000000000000 = 213 · 37 · 514 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235675,-1284781750] |
[a1,a2,a3,a4,a6] |
j |
26487576322129/44531250 |
j-invariant |
L |
1.9756555347238 |
L(r)(E,1)/r! |
Ω |
0.1234784707604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550x3 22800ca4 13680br3 |
Quadratic twists by: -4 -3 5 |