Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fy |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-6531840000000 = -1 · 214 · 36 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,-124000] |
[a1,a2,a3,a4,a6] |
Generators |
[1145:38725:1] |
Generators of the group modulo torsion |
j |
-1024/35 |
j-invariant |
L |
6.6230192654939 |
L(r)(E,1)/r! |
Ω |
0.32724995953041 |
Real period |
R |
5.0596028211453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800mj1 12600w1 11200v1 20160bj1 |
Quadratic twists by: -4 8 -3 5 |