Atkin-Lehner |
5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28475b |
Isogeny class |
Conductor |
28475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-17796875 = -1 · 56 · 17 · 67 |
Discriminant |
Eigenvalues |
0 -1 5+ 4 3 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2683,-52607] |
[a1,a2,a3,a4,a6] |
Generators |
[77:437:1] |
Generators of the group modulo torsion |
j |
-136750071808/1139 |
j-invariant |
L |
4.0587952629524 |
L(r)(E,1)/r! |
Ω |
0.33166579571006 |
Real period |
R |
3.0594014482733 |
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 |
1139a1 |
Quadratic twists by: 5 |