Atkin-Lehner |
3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355m |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
10512224501805 = 316 · 5 · 132 · 172 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 -3 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14580,664301] |
[a1,a2,a3,a4,a6] |
Generators |
[-138510:84793:1000] |
Generators of the group modulo torsion |
j |
1186118904991744/36374479245 |
j-invariant |
L |
12.260013442606 |
L(r)(E,1)/r! |
Ω |
0.71834334618812 |
Real period |
R |
4.2667665496439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56355t1 |
Quadratic twists by: 17 |