Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cs |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
162000 |
Modular degree for the optimal curve |
Δ |
-14969690450 = -1 · 2 · 52 · 116 · 132 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 11- 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2685,-53193] |
[a1,a2,a3,a4,a6] |
j |
-48317985/338 |
j-invariant |
L |
0.66297118289253 |
L(r)(E,1)/r! |
Ω |
0.33148558225204 |
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 |
78650bg1 650c1 |
Quadratic twists by: 5 -11 |