Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775bk |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25212599010703125 = 318 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5001417,4306388116] |
[a1,a2,a3,a4,a6] |
Generators |
[11142:45529:8] |
Generators of the group modulo torsion |
j |
1214661886599131209/2213451765 |
j-invariant |
L |
6.0603646743061 |
L(r)(E,1)/r! |
Ω |
0.32332777349263 |
Real period |
R |
4.6859295513352 |
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 |
8925i3 5355m4 |
Quadratic twists by: -3 5 |