Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475a |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-145073955530796875 = -1 · 56 · 113 · 178 |
Discriminant |
Eigenvalues |
0 1 5+ 2 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,77067,16396669] |
[a1,a2,a3,a4,a6] |
Generators |
[443377949:13323802330:571787] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
5.9176068801402 |
L(r)(E,1)/r! |
Ω |
0.22936457838436 |
Real period |
R |
12.900001652888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179a1 4675l1 |
Quadratic twists by: 5 17 |