Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72216k |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-2409935459801904 = -1 · 24 · 36 · 172 · 595 |
Discriminant |
Eigenvalues |
2- 3- 3 1 4 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171066,27335117] |
[a1,a2,a3,a4,a6] |
Generators |
[593:11594:1] |
Generators of the group modulo torsion |
j |
-47464324294309888/206613122411 |
j-invariant |
L |
9.0072779065859 |
L(r)(E,1)/r! |
Ω |
0.4612195535214 |
Real period |
R |
4.8823157192237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8024j1 |
Quadratic twists by: -3 |