Atkin-Lehner |
2+ 3+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67938f |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
229632 |
Modular degree for the optimal curve |
Δ |
-34104069983568 = -1 · 24 · 3 · 139 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 3 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3890,294468] |
[a1,a2,a3,a4,a6] |
j |
-614125/3216 |
j-invariant |
L |
2.2674151715476 |
L(r)(E,1)/r! |
Ω |
0.56685379016717 |
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 |
67938q1 |
Quadratic twists by: 13 |