Atkin-Lehner |
5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3895a |
Isogeny class |
Conductor |
3895 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
-916218532475 = -1 · 52 · 197 · 41 |
Discriminant |
Eigenvalues |
0 -3 5+ 0 6 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2192,-23676] |
[a1,a2,a3,a4,a6] |
j |
1164783906717696/916218532475 |
j-invariant |
L |
0.98422413408455 |
L(r)(E,1)/r! |
Ω |
0.49211206704228 |
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 |
62320w1 35055e1 19475a1 74005e1 |
Quadratic twists by: -4 -3 5 -19 |