Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79475w |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
-5254351785546875 = -1 · 58 · 115 · 174 |
Discriminant |
Eigenvalues |
0 -3 5+ -2 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,14450,-3422844] |
[a1,a2,a3,a4,a6] |
Generators |
[510:11687:1] |
Generators of the group modulo torsion |
j |
255688704/4026275 |
j-invariant |
L |
2.4264466070129 |
L(r)(E,1)/r! |
Ω |
0.21005776859182 |
Real period |
R |
0.19252216717954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15895i1 79475d1 |
Quadratic twists by: 5 17 |