Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376q |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
7077355388928 = 216 · 37 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9448,332656] |
[a1,a2,a3,a4,a6] |
Generators |
[18:410:1] |
Generators of the group modulo torsion |
j |
22773479163625/1727869968 |
j-invariant |
L |
5.4439031652506 |
L(r)(E,1)/r! |
Ω |
0.73002405779037 |
Real period |
R |
3.7285779195606 |
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 |
4422e1 106128ba1 |
Quadratic twists by: -4 -3 |