Atkin-Lehner |
2+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
2678c |
Isogeny class |
Conductor |
2678 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1104 |
Modular degree for the optimal curve |
Δ |
-1103336 = -1 · 23 · 13 · 1032 |
Discriminant |
Eigenvalues |
2+ 3 1 5 -4 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26,-4] |
[a1,a2,a3,a4,a6] |
j |
1902014919/1103336 |
j-invariant |
L |
3.3109190772585 |
L(r)(E,1)/r! |
Ω |
1.6554595386292 |
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 |
21424w1 85696i1 24102bb1 66950bb1 |
Quadratic twists by: -4 8 -3 5 |