Atkin-Lehner |
5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3895c |
Isogeny class |
Conductor |
3895 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1586250921875 = -1 · 56 · 195 · 41 |
Discriminant |
Eigenvalues |
2 -1 5+ 4 -4 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3156,-90219] |
[a1,a2,a3,a4,a6] |
j |
-3477541309272064/1586250921875 |
j-invariant |
L |
3.1161926684908 |
L(r)(E,1)/r! |
Ω |
0.31161926684908 |
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 |
62320l1 35055k1 19475e1 74005i1 |
Quadratic twists by: -4 -3 5 -19 |