Atkin-Lehner |
2- 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088p |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-401253543936 = -1 · 212 · 311 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9997,382619] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-108:1] |
Generators of the group modulo torsion |
j |
-26978405759488/97962291 |
j-invariant |
L |
5.0205100421085 |
L(r)(E,1)/r! |
Ω |
0.95182885389195 |
Real period |
R |
0.23975423836032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53088m1 106176bf1 |
Quadratic twists by: -4 8 |