Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hx |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1352243200000000 = -1 · 217 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 5 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-1769537] |
[a1,a2,a3,a4,a6] |
Generators |
[133:700:1] |
Generators of the group modulo torsion |
j |
-1250/26411 |
j-invariant |
L |
5.7937596210096 |
L(r)(E,1)/r! |
Ω |
0.21954517788277 |
Real period |
R |
1.0995762015543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999921688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200cp1 30800t1 123200et1 |
Quadratic twists by: -4 8 5 |