Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787i |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3165014301887765943 = 316 · 73 · 118 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11- -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-430823,-67411618] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:5173:1] |
Generators of the group modulo torsion |
j |
14553591673375/5208653241 |
j-invariant |
L |
2.0916487688601 |
L(r)(E,1)/r! |
Ω |
0.19187817960537 |
Real period |
R |
5.4504602168989 |
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 |
53361bg2 17787s2 1617d2 |
Quadratic twists by: -3 -7 -11 |