Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bq |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-824705024000000 = -1 · 225 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 11- 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5192,-1375888] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5632:1] |
Generators of the group modulo torsion |
j |
241804367/12886016 |
j-invariant |
L |
2.1669225145851 |
L(r)(E,1)/r! |
Ω |
0.24003712171645 |
Real period |
R |
1.128430937655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150c1 2288k1 |
Quadratic twists by: -4 5 |