Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728d |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1038369677377536 = 218 · 310 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84257,-9257055] |
[a1,a2,a3,a4,a6] |
Generators |
[-4014760:-8624735:24389] |
Generators of the group modulo torsion |
j |
252352098250057/3961065969 |
j-invariant |
L |
5.9470601464606 |
L(r)(E,1)/r! |
Ω |
0.28048572893897 |
Real period |
R |
10.601359593138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49728eq2 777e2 |
Quadratic twists by: -4 8 |