Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200t |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-68608000000000 = -1 · 219 · 59 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -3 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3967,388063] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-800:1] [-21:544:1] |
Generators of the group modulo torsion |
j |
1685159/16750 |
j-invariant |
L |
8.1138203089053 |
L(r)(E,1)/r! |
Ω |
0.4535635421724 |
Real period |
R |
2.2361310909712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200by1 3350e1 21440d1 |
Quadratic twists by: -4 8 5 |