Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504l |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259584 |
Modular degree for the optimal curve |
Δ |
18726356756304 = 24 · 319 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86862,9851353] |
[a1,a2,a3,a4,a6] |
Generators |
[168:13:1] |
Generators of the group modulo torsion |
j |
6213920254633984/1605483261 |
j-invariant |
L |
9.3609715710154 |
L(r)(E,1)/r! |
Ω |
0.67137769671638 |
Real period |
R |
3.4857322550634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168u1 |
Quadratic twists by: -3 |