Atkin-Lehner |
3+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13065f |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20384 |
Modular degree for the optimal curve |
Δ |
-4225171392195 = -1 · 3 · 5 · 137 · 672 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 -1 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-255,-98824] |
[a1,a2,a3,a4,a6] |
j |
-1840968073216/4225171392195 |
j-invariant |
L |
0.70553107697934 |
L(r)(E,1)/r! |
Ω |
0.35276553848967 |
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 |
39195c1 65325r1 |
Quadratic twists by: -3 5 |