Atkin-Lehner |
2+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59878d |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-10897796 = -1 · 22 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -5 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39,169] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] [6:11:1] |
Generators of the group modulo torsion |
j |
-19902511/31772 |
j-invariant |
L |
4.4581041314252 |
L(r)(E,1)/r! |
Ω |
2.0409329639557 |
Real period |
R |
0.27304327298842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59878s1 |
Quadratic twists by: -7 |