Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520cx |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-4668312320 = -1 · 28 · 5 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4965,133055] |
[a1,a2,a3,a4,a6] |
Generators |
[79:490:1] |
Generators of the group modulo torsion |
j |
-449511424/155 |
j-invariant |
L |
8.0686938309762 |
L(r)(E,1)/r! |
Ω |
1.3469181911065 |
Real period |
R |
1.4976213600499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30380d1 2480h1 |
Quadratic twists by: -4 -7 |