Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616bp |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-31961088 = -1 · 212 · 33 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -6 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,306] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] [9:24:1] |
Generators of the group modulo torsion |
j |
-459 |
j-invariant |
L |
8.270876960173 |
L(r)(E,1)/r! |
Ω |
1.8477680531258 |
Real period |
R |
0.55951807277579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2601a1 41616bo1 41616bu1 |
Quadratic twists by: -4 -3 17 |