Atkin-Lehner |
2- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67184q |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1457280 |
Modular degree for the optimal curve |
Δ |
-3797326871425298432 = -1 · 212 · 132 · 17 · 199 |
Discriminant |
Eigenvalues |
2- 1 2 4 0 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1861317,981280307] |
[a1,a2,a3,a4,a6] |
j |
-174110526670532497408/927081755719067 |
j-invariant |
L |
4.4964696899843 |
L(r)(E,1)/r! |
Ω |
0.24980387195425 |
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 |
4199b1 |
Quadratic twists by: -4 |