Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200z |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-15558480000000 = -1 · 210 · 34 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-190512] |
[a1,a2,a3,a4,a6] |
j |
-7086244/972405 |
j-invariant |
L |
2.4827122184585 |
L(r)(E,1)/r! |
Ω |
0.31033902730732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8400a4 33600o3 12600r4 840c4 |
Quadratic twists by: -4 8 -3 5 |