Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890bw |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-94016821840200 = -1 · 23 · 39 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-789840,270380200] |
[a1,a2,a3,a4,a6] |
Generators |
[-565:23435:1] [485:860:1] |
Generators of the group modulo torsion |
j |
-635368419908209/1096200 |
j-invariant |
L |
7.9041609104323 |
L(r)(E,1)/r! |
Ω |
0.51429238533333 |
Real period |
R |
0.48028132502149 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cr1 18270y1 |
Quadratic twists by: -3 -7 |