Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496b |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-228581619826688 = -1 · 215 · 178 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5780,-707472] |
[a1,a2,a3,a4,a6] |
Generators |
[2277:108711:1] |
Generators of the group modulo torsion |
j |
27000/289 |
j-invariant |
L |
4.2667974519649 |
L(r)(E,1)/r! |
Ω |
0.27513700869368 |
Real period |
R |
7.7539504267766 |
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 |
18496a2 9248d2 1088a2 |
Quadratic twists by: -4 8 17 |