Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830y |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-312734001600000000 = -1 · 212 · 38 · 58 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-409096,-104415607] |
[a1,a2,a3,a4,a6] |
Generators |
[773:6093:1] |
Generators of the group modulo torsion |
j |
-254164210474783519/10497600000000 |
j-invariant |
L |
6.3833835759631 |
L(r)(E,1)/r! |
Ω |
0.094159486442223 |
Real period |
R |
2.8247213925527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490bc1 28830bi1 |
Quadratic twists by: -3 -31 |