Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fz |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-15682947840000000 = -1 · 214 · 36 · 57 · 75 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28800,-5724000] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1225:1] |
Generators of the group modulo torsion |
j |
14155776/84035 |
j-invariant |
L |
5.2424825565118 |
L(r)(E,1)/r! |
Ω |
0.19649417164868 |
Real period |
R |
1.3340045887273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800mk1 6300q1 11200y1 20160bk1 |
Quadratic twists by: -4 8 -3 5 |