Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78585i |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-996064875 = -1 · 32 · 53 · 134 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4,-1519] |
[a1,a2,a3,a4,a6] |
Generators |
[79:662:1] |
Generators of the group modulo torsion |
j |
-169/34875 |
j-invariant |
L |
9.431876878443 |
L(r)(E,1)/r! |
Ω |
0.7144031324966 |
Real period |
R |
2.2004095560613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78585r1 |
Quadratic twists by: 13 |