Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998bm |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
6525807163833581568 = 224 · 34 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3441957,-2455067007] |
[a1,a2,a3,a4,a6] |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
5.3208029247745 |
L(r)(E,1)/r! |
Ω |
0.1108500609328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39984bv1 14994bi1 124950ba1 714g1 |
Quadratic twists by: -4 -3 5 -7 |