Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2890d |
Isogeny class |
Conductor |
2890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42432 |
Modular degree for the optimal curve |
Δ |
-4857359421317120 = -1 · 213 · 5 · 179 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 2 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40225,4580221] |
[a1,a2,a3,a4,a6] |
Generators |
[217:2348:1] |
Generators of the group modulo torsion |
j |
-60698457/40960 |
j-invariant |
L |
1.1082353942951 |
L(r)(E,1)/r! |
Ω |
0.39939291789992 |
Real period |
R |
1.3873999069918 |
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 |
23120u1 92480cg1 26010bz1 14450ba1 |
Quadratic twists by: -4 8 -3 5 |