Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200cx |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-7410192854400000000 = -1 · 213 · 39 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-270675,141743250] |
[a1,a2,a3,a4,a6] |
Generators |
[255:-9450:1] |
Generators of the group modulo torsion |
j |
-1740992427/5882450 |
j-invariant |
L |
5.3302355677722 |
L(r)(E,1)/r! |
Ω |
0.20601453892961 |
Real period |
R |
1.0780459952541 |
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 |
3150b4 100800jn4 25200cw2 5040y4 |
Quadratic twists by: -4 8 -3 5 |