Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200bl |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-68759667968750000 = -1 · 24 · 514 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108700,18693375] |
[a1,a2,a3,a4,a6] |
Generators |
[65:3450:1] |
Generators of the group modulo torsion |
j |
-568162198831104/275038671875 |
j-invariant |
L |
5.2768408350139 |
L(r)(E,1)/r! |
Ω |
0.32378107068942 |
Real period |
R |
2.716259689993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25300c1 20240r1 |
Quadratic twists by: -4 5 |