Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944a |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
351797248 = 219 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 1 4 -2 11+ 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7504464001,-250225734763553] |
[a1,a2,a3,a4,a6] |
Generators |
[702253195081763028465433596448548865302187717065252175410398781235816217387506302200979:-535866347011190875958775775474672369162426429395410200479398226321254348115049604920421920:1179115496225023958862996418494601248091805313594340896729957819156516831308198233] |
Generators of the group modulo torsion |
j |
178296503348692983836197044001/1342 |
j-invariant |
L |
8.7964625962612 |
L(r)(E,1)/r! |
Ω |
0.016220701601313 |
Real period |
R |
135.57463191896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944v3 1342c3 |
Quadratic twists by: -4 8 |