Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8652a |
Isogeny class |
Conductor |
8652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8383995648 = 28 · 32 · 73 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1932,-31752] |
[a1,a2,a3,a4,a6] |
j |
3116950345168/32749983 |
j-invariant |
L |
2.1616029623562 |
L(r)(E,1)/r! |
Ω |
0.7205343207854 |
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 |
34608bg2 25956g2 60564k2 |
Quadratic twists by: -4 -3 -7 |