Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400ci |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-17095387500000000 = -1 · 28 · 33 · 511 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46533,-7397937] |
[a1,a2,a3,a4,a6] |
Generators |
[1443:54150:1] |
Generators of the group modulo torsion |
j |
-2785840267264/4273846875 |
j-invariant |
L |
8.0178469001194 |
L(r)(E,1)/r! |
Ω |
0.15417141050681 |
Real period |
R |
4.333837941462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100b1 8880p1 |
Quadratic twists by: -4 5 |