Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920bo |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-65228800 = -1 · 212 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 1 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-625,5823] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-20:1] [-22:97:1] |
Generators of the group modulo torsion |
j |
-134741824/325 |
j-invariant |
L |
8.8652632822799 |
L(r)(E,1)/r! |
Ω |
1.9654281201688 |
Real period |
R |
0.56382520382603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101920m1 101920u1 |
Quadratic twists by: -4 -7 |