Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960h |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-62112199680 = -1 · 210 · 38 · 5 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,573,-10766] |
[a1,a2,a3,a4,a6] |
Generators |
[50:378:1] |
Generators of the group modulo torsion |
j |
27871484/83205 |
j-invariant |
L |
5.7821712820497 |
L(r)(E,1)/r! |
Ω |
0.56723105898899 |
Real period |
R |
2.5484197270313 |
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 |
15480g2 123840fd2 10320g2 |
Quadratic twists by: -4 8 -3 |