Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960cf |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-30240821781463040 = -1 · 233 · 5 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11- 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40255,7781183] |
[a1,a2,a3,a4,a6] |
Generators |
[2063:94208:1] |
Generators of the group modulo torsion |
j |
27518990257871/115359580160 |
j-invariant |
L |
9.2517994570326 |
L(r)(E,1)/r! |
Ω |
0.26555670348235 |
Real period |
R |
1.4516358993041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960s1 20240l1 |
Quadratic twists by: -4 8 |