Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cz |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2506752 |
Modular degree for the optimal curve |
Δ |
6.6705680529562E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14721088,-21705606208] |
[a1,a2,a3,a4,a6] |
Generators |
[-113581564:337212032:50653] |
Generators of the group modulo torsion |
j |
190407092777/360000 |
j-invariant |
L |
10.206953961798 |
L(r)(E,1)/r! |
Ω |
0.077083939743814 |
Real period |
R |
11.034458016071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670b1 43350bz1 |
Quadratic twists by: 5 17 |