Atkin-Lehner |
2- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81928s |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-822182329950623488 = -1 · 28 · 73 · 1110 · 192 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-362308,-94478460] |
[a1,a2,a3,a4,a6] |
j |
-59899692982750000/9363410280961 |
j-invariant |
L |
3.0869431970479 |
L(r)(E,1)/r! |
Ω |
0.096466976045569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81928o2 |
Quadratic twists by: -7 |