Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ch |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-20708336880 = -1 · 24 · 34 · 5 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-11397] |
[a1,a2,a3,a4,a6] |
Generators |
[37:105:1] |
Generators of the group modulo torsion |
j |
-1475789056/539055 |
j-invariant |
L |
9.9377411565035 |
L(r)(E,1)/r! |
Ω |
0.44074569910164 |
Real period |
R |
1.8789635204576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680e1 129360f1 |
Quadratic twists by: -4 -7 |