Atkin-Lehner |
3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8211c |
Isogeny class |
Conductor |
8211 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-234183196737 = -1 · 312 · 72 · 17 · 232 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2354,48777] |
[a1,a2,a3,a4,a6] |
j |
-1443548316975913/234183196737 |
j-invariant |
L |
1.9107255840332 |
L(r)(E,1)/r! |
Ω |
0.95536279201659 |
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 |
24633k2 57477m2 |
Quadratic twists by: -3 -7 |