Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920x |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-611050458636800000 = -1 · 212 · 55 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195281,-50242081] |
[a1,a2,a3,a4,a6] |
Generators |
[14529:23876:27] |
Generators of the group modulo torsion |
j |
-711812416/528125 |
j-invariant |
L |
6.7702645584897 |
L(r)(E,1)/r! |
Ω |
0.10999705791751 |
Real period |
R |
7.6936882257105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101920b1 101920bk1 |
Quadratic twists by: -4 -7 |