Atkin-Lehner |
2- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
56560o |
Isogeny class |
Conductor |
56560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-723968000 = -1 · 213 · 53 · 7 · 101 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 4 -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,-1286] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
4019679/176750 |
j-invariant |
L |
3.8130788429457 |
L(r)(E,1)/r! |
Ω |
0.769469103309 |
Real period |
R |
0.41295559351568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070i1 |
Quadratic twists by: -4 |