Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400i |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
36240400000000 = 210 · 58 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13075,497250] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:750:1] |
Generators of the group modulo torsion |
j |
15450012036/2265025 |
j-invariant |
L |
4.2035328985862 |
L(r)(E,1)/r! |
Ω |
0.62474481007635 |
Real period |
R |
1.682099974046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999603355 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60200i2 24080a2 |
Quadratic twists by: -4 5 |