Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dd |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1113393790688256 = -1 · 210 · 39 · 73 · 115 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480924,128379816] |
[a1,a2,a3,a4,a6] |
Generators |
[405:189:1] |
Generators of the group modulo torsion |
j |
-610325920583424/55240493 |
j-invariant |
L |
4.4222031322482 |
L(r)(E,1)/r! |
Ω |
0.46794214059235 |
Real period |
R |
1.5750533910911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352e1 11088h1 44352dg1 |
Quadratic twists by: -4 8 -3 |