Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960b |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
135419040000 = 28 · 39 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5967,176526] |
[a1,a2,a3,a4,a6] |
Generators |
[37:80:1] |
Generators of the group modulo torsion |
j |
4662947952/26875 |
j-invariant |
L |
6.6646588467329 |
L(r)(E,1)/r! |
Ω |
1.0429570046249 |
Real period |
R |
1.5975392123498 |
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 |
15480k2 123840dm2 30960a2 |
Quadratic twists by: -4 8 -3 |