Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bx |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
12982588416 = 210 · 33 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12397,-535405] |
[a1,a2,a3,a4,a6] |
Generators |
[44009:17760:343] |
Generators of the group modulo torsion |
j |
205782571927552/12678309 |
j-invariant |
L |
8.0396865649548 |
L(r)(E,1)/r! |
Ω |
0.45244843520843 |
Real period |
R |
5.9230960107432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728du1 6216d1 |
Quadratic twists by: -4 8 |