Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bh |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
142248960 |
Modular degree for the optimal curve |
Δ |
-5.1821078891592E+29 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15613980360,-751756082792976] |
[a1,a2,a3,a4,a6] |
Generators |
[5238536661965577:794772598613000436:33792250337] |
Generators of the group modulo torsion |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
6.7970058353609 |
L(r)(E,1)/r! |
Ω |
0.0067524146118821 |
Real period |
R |
17.97506687301 |
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 |
11154m1 6864j1 |
Quadratic twists by: -4 13 |