Atkin-Lehner |
2+ 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938g |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-261531802950912 = -1 · 28 · 35 · 137 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 3 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9460,693578] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:766:1] |
Generators of the group modulo torsion |
j |
19400056703/54183168 |
j-invariant |
L |
6.6111547634711 |
L(r)(E,1)/r! |
Ω |
0.38787109253209 |
Real period |
R |
0.42611803833155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5226e1 |
Quadratic twists by: 13 |