Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bo |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
97416900000000 = 28 · 32 · 58 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31563,2092281] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1502:1] |
Generators of the group modulo torsion |
j |
222556033261801/6234681600 |
j-invariant |
L |
8.4533461909109 |
L(r)(E,1)/r! |
Ω |
0.59740066503464 |
Real period |
R |
0.88438826378112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870k2 |
Quadratic twists by: 5 |