Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222k |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
1.3100530302407E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2351358,-1376241260] |
[a1,a2,a3,a4,a6] |
Generators |
[-948:922:1] [-7410:23935:8] |
Generators of the group modulo torsion |
j |
81706955619457/744505344 |
j-invariant |
L |
7.3491977807986 |
L(r)(E,1)/r! |
Ω |
0.12198562991123 |
Real period |
R |
15.061605588614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074t1 3366k1 |
Quadratic twists by: -3 17 |