Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475y |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-2346784574762890625 = -1 · 58 · 114 · 177 |
Discriminant |
Eigenvalues |
1 -1 5- -3 11- -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,303300,36167125] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:3221:1] |
Generators of the group modulo torsion |
j |
327254135/248897 |
j-invariant |
L |
2.7725459710972 |
L(r)(E,1)/r! |
Ω |
0.16560267885897 |
Real period |
R |
1.0463847821707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475l1 4675o1 |
Quadratic twists by: 5 17 |