Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640s |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
53749785600 = 210 · 34 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1016,-5916] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:60:1] |
Generators of the group modulo torsion |
j |
113378906596/52490025 |
j-invariant |
L |
6.6847485013425 |
L(r)(E,1)/r! |
Ω |
0.88395745518387 |
Real period |
R |
0.94528708114571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320o2 115920bk2 |
Quadratic twists by: -4 -3 |