Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cn |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1732839775143750000 = -1 · 24 · 314 · 58 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182208,-70113537] |
[a1,a2,a3,a4,a6] |
Generators |
[897:22113:1] |
Generators of the group modulo torsion |
j |
-107040567189760/277254364023 |
j-invariant |
L |
8.836458220859 |
L(r)(E,1)/r! |
Ω |
0.10746272900853 |
Real period |
R |
0.97890619348925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54600bs1 109200c1 |
Quadratic twists by: -4 5 |