Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998bb |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-423190656 = -1 · 27 · 34 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 2 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-442,3527] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:63:1] |
Generators of the group modulo torsion |
j |
-3977954113/176256 |
j-invariant |
L |
4.0766493230382 |
L(r)(E,1)/r! |
Ω |
1.6621822499444 |
Real period |
R |
0.058394967894288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984cy1 14994o1 124950ci1 4998bn1 |
Quadratic twists by: -4 -3 5 -7 |