Atkin-Lehner |
3+ 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102225g |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8792064 |
Modular degree for the optimal curve |
Δ |
-8.7215564753785E+20 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 4 -4 -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-971508,-1467573082] |
[a1,a2,a3,a4,a6] |
j |
-6489978779037454336/55817961442422435 |
j-invariant |
L |
0.53380272420736 |
L(r)(E,1)/r! |
Ω |
0.066725293122186 |
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 |
20445h1 |
Quadratic twists by: 5 |