Atkin-Lehner |
2+ 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13130a |
Isogeny class |
Conductor |
13130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-10710544366730000 = -1 · 24 · 54 · 139 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -4 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15738,-5038212] |
[a1,a2,a3,a4,a6] |
j |
-431054979353746201/10710544366730000 |
j-invariant |
L |
1.404463844225 |
L(r)(E,1)/r! |
Ω |
0.17555798052812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105040u1 118170t1 65650s1 |
Quadratic twists by: -4 -3 5 |