Atkin-Lehner |
3+ 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67425c |
Isogeny class |
Conductor |
67425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-488612378125546875 = -1 · 35 · 57 · 29 · 316 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 4 3 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-145008,39832418] |
[a1,a2,a3,a4,a6] |
j |
-21581546832695296/31271192200035 |
j-invariant |
L |
1.0607356612838 |
L(r)(E,1)/r! |
Ω |
0.26518391966281 |
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 |
13485h1 |
Quadratic twists by: 5 |