Atkin-Lehner |
2- 3+ 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26130q |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-12400043760 = -1 · 24 · 34 · 5 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,340,4925] |
[a1,a2,a3,a4,a6] |
j |
4345908989759/12400043760 |
j-invariant |
L |
1.7802578650261 |
L(r)(E,1)/r! |
Ω |
0.89012893251296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78390m1 |
Quadratic twists by: -3 |