Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960ca |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12422439936000 = 213 · 38 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192387,32479234] |
[a1,a2,a3,a4,a6] |
Generators |
[263:-270:1] |
Generators of the group modulo torsion |
j |
263732349218689/4160250 |
j-invariant |
L |
5.4947965124024 |
L(r)(E,1)/r! |
Ω |
0.65177840252448 |
Real period |
R |
0.70253894205963 |
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 |
3870g2 123840eq2 10320bc2 |
Quadratic twists by: -4 8 -3 |