Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480bg |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-51911065600000000 = -1 · 224 · 58 · 892 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52321,11873055] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:3649:1] |
Generators of the group modulo torsion |
j |
-60425492474521/198025000000 |
j-invariant |
L |
2.3910636273586 |
L(r)(E,1)/r! |
Ω |
0.31176265751167 |
Real period |
R |
3.8347498806349 |
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 |
28480g2 7120q2 |
Quadratic twists by: -4 8 |