Atkin-Lehner |
5- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76585b |
Isogeny class |
Conductor |
76585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1465344 |
Modular degree for the optimal curve |
Δ |
31425787271705 = 5 · 179 · 53 |
Discriminant |
Eigenvalues |
1 2 5- 0 2 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7838697,8443957136] |
[a1,a2,a3,a4,a6] |
j |
2206794549237788089/1301945 |
j-invariant |
L |
3.234903579515 |
L(r)(E,1)/r! |
Ω |
0.40436294846352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4505a1 |
Quadratic twists by: 17 |