Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728dx |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
129767791404367872 = 214 · 32 · 73 · 376 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133393,-7203505] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:7689:8] |
Generators of the group modulo torsion |
j |
16021609721458000/7920397424583 |
j-invariant |
L |
7.631357080737 |
L(r)(E,1)/r! |
Ω |
0.26280239154381 |
Real period |
R |
7.2595963033938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728m4 12432bd4 |
Quadratic twists by: -4 8 |