Atkin-Lehner |
3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4935d |
Isogeny class |
Conductor |
4935 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
887914453125 = 3 · 58 · 73 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4876,122555] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:319:1] |
Generators of the group modulo torsion |
j |
12820954817619649/887914453125 |
j-invariant |
L |
2.46190179292 |
L(r)(E,1)/r! |
Ω |
0.86976302351973 |
Real period |
R |
2.8305431782525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960bq2 14805h2 24675a2 34545j2 |
Quadratic twists by: -4 -3 5 -7 |