Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bi |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-283133664000 = -1 · 28 · 33 · 53 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,948,-23004] |
[a1,a2,a3,a4,a6] |
Generators |
[57:465:1] |
Generators of the group modulo torsion |
j |
13631542272/40962625 |
j-invariant |
L |
8.1370991651226 |
L(r)(E,1)/r! |
Ω |
0.49974241403627 |
Real period |
R |
0.4522940717662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122760b1 |
Quadratic twists by: -3 |