Atkin-Lehner |
2+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
49840g |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
697760000 = 28 · 54 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1487,-22034] |
[a1,a2,a3,a4,a6] |
Generators |
[57:280:1] |
Generators of the group modulo torsion |
j |
1420419586896/2725625 |
j-invariant |
L |
4.6118788064289 |
L(r)(E,1)/r! |
Ω |
0.76890356609568 |
Real period |
R |
1.4994984448472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24920h1 |
Quadratic twists by: -4 |