Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120s |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
50895360000 = 212 · 32 · 54 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3145,-65975] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:28:1] |
Generators of the group modulo torsion |
j |
840163473856/12425625 |
j-invariant |
L |
6.3684091317973 |
L(r)(E,1)/r! |
Ω |
0.63807528852864 |
Real period |
R |
2.4951636767203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45120bj2 22560g1 |
Quadratic twists by: -4 8 |