Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480w |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25699221913600 = -1 · 214 · 52 · 894 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52785,-4691825] |
[a1,a2,a3,a4,a6] |
Generators |
[54930:945091:125] |
Generators of the group modulo torsion |
j |
-992758417495504/1568556025 |
j-invariant |
L |
3.9067480989468 |
L(r)(E,1)/r! |
Ω |
0.15747082832714 |
Real period |
R |
6.2023362365736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28480br2 1780b2 |
Quadratic twists by: -4 8 |