Atkin-Lehner |
2- 3+ 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26130s |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-856227840 = -1 · 216 · 3 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 5 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3170,-70033] |
[a1,a2,a3,a4,a6] |
j |
-3522979056149281/856227840 |
j-invariant |
L |
5.089998806047 |
L(r)(E,1)/r! |
Ω |
0.31812492537793 |
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 |
78390p1 |
Quadratic twists by: -3 |