Atkin-Lehner |
3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
68493c |
Isogeny class |
Conductor |
68493 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-50406660364212819 = -1 · 39 · 177 · 792 |
Discriminant |
Eigenvalues |
0 3+ -1 2 -3 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-114251,18412658] |
[a1,a2,a3,a4,a6] |
j |
-6833040818176/2088307251 |
j-invariant |
L |
1.3486485239212 |
L(r)(E,1)/r! |
Ω |
0.33716213607567 |
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 |
4029a1 |
Quadratic twists by: 17 |