Atkin-Lehner |
3+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
89817h |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9820129373814123 = 33 · 78 · 134 · 472 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 4 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-337635,75221406] |
[a1,a2,a3,a4,a6] |
j |
36180941388243625/83469722427 |
j-invariant |
L |
1.6365537104849 |
L(r)(E,1)/r! |
Ω |
0.40913843330539 |
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 |
12831c2 |
Quadratic twists by: -7 |