Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420bb |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-14456737355760 = -1 · 24 · 36 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8346,-348615] |
[a1,a2,a3,a4,a6] |
Generators |
[114:441:1] |
Generators of the group modulo torsion |
j |
-697118464/156735 |
j-invariant |
L |
8.1150427500254 |
L(r)(E,1)/r! |
Ω |
0.24679021274868 |
Real period |
R |
0.60893245506904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999540089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126420s1 |
Quadratic twists by: -7 |