Atkin-Lehner |
2+ 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67150i |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
252000 |
Modular degree for the optimal curve |
Δ |
-292236800000000 = -1 · 215 · 58 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-825,-822875] |
[a1,a2,a3,a4,a6] |
j |
-159275065/748126208 |
j-invariant |
L |
0.4969739829 |
L(r)(E,1)/r! |
Ω |
0.24848698970362 |
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 |
67150q1 |
Quadratic twists by: 5 |