Atkin-Lehner |
3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
78897g |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2477152607761377 = -1 · 36 · 72 · 132 · 177 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11410,2352969] |
[a1,a2,a3,a4,a6] |
Generators |
[320:6077:1] |
Generators of the group modulo torsion |
j |
6804992375/102626433 |
j-invariant |
L |
4.6733996425435 |
L(r)(E,1)/r! |
Ω |
0.33994409793792 |
Real period |
R |
3.4368883496108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4641d2 |
Quadratic twists by: 17 |