Atkin-Lehner |
11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35321f |
Isogeny class |
Conductor |
35321 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
2216340368957 = 11 · 139 · 19 |
Discriminant |
Eigenvalues |
0 2 0 3 11- 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7323,232780] |
[a1,a2,a3,a4,a6] |
Generators |
[4676:319663:1] |
Generators of the group modulo torsion |
j |
4096000/209 |
j-invariant |
L |
7.4703609093315 |
L(r)(E,1)/r! |
Ω |
0.81112100618897 |
Real period |
R |
4.604960821093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35321b1 |
Quadratic twists by: 13 |