Atkin-Lehner |
3- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61275n |
Isogeny class |
Conductor |
61275 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4751948056640625 = 36 · 510 · 192 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-107838,13211667] |
[a1,a2,a3,a4,a6] |
j |
8876043294138649/304124675625 |
j-invariant |
L |
2.5854836168927 |
L(r)(E,1)/r! |
Ω |
0.43091393544928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12255a2 |
Quadratic twists by: 5 |