Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830d |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-360375000 = -1 · 23 · 3 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-438,3468] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:287:8] [-1:63:1] |
Generators of the group modulo torsion |
j |
-9704452009/375000 |
j-invariant |
L |
5.1333523635365 |
L(r)(E,1)/r! |
Ω |
1.6880317824639 |
Real period |
R |
1.5205141327505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490co2 28830l2 |
Quadratic twists by: -3 -31 |