Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bb |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
1.5704812300805E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40780257,-80087630625] |
[a1,a2,a3,a4,a6] |
Generators |
[49661250:-3612287475:4913] |
Generators of the group modulo torsion |
j |
1546167879660104/323754489243 |
j-invariant |
L |
11.291360702306 |
L(r)(E,1)/r! |
Ω |
0.060625726610723 |
Real period |
R |
13.303358308554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568h2 50784v2 4416m2 |
Quadratic twists by: -4 8 -23 |