Atkin-Lehner |
2+ 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67150j |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
166400 |
Modular degree for the optimal curve |
Δ |
-2648605508000 = -1 · 25 · 53 · 17 · 794 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 6 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2830,-51500] |
[a1,a2,a3,a4,a6] |
j |
20041637419747/21188844064 |
j-invariant |
L |
1.754255724791 |
L(r)(E,1)/r! |
Ω |
0.43856393073005 |
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 |
67150u1 |
Quadratic twists by: 5 |