Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bn |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
277138191494283264 = 217 · 33 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2421409,1449246911] |
[a1,a2,a3,a4,a6] |
Generators |
[866:1587:1] |
Generators of the group modulo torsion |
j |
80919167474/14283 |
j-invariant |
L |
6.3502113485004 |
L(r)(E,1)/r! |
Ω |
0.29952351352562 |
Real period |
R |
1.7667537086706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568cr2 12696d2 4416g2 |
Quadratic twists by: -4 8 -23 |