Atkin-Lehner |
3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
3195c |
Isogeny class |
Conductor |
3195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1697953995 = 314 · 5 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17055,-853034] |
[a1,a2,a3,a4,a6] |
Generators |
[17589250:273891163:54872] |
Generators of the group modulo torsion |
j |
752602538173681/2329155 |
j-invariant |
L |
4.1609689699927 |
L(r)(E,1)/r! |
Ω |
0.41776832679305 |
Real period |
R |
9.9599914668828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120bd4 1065b4 15975o3 |
Quadratic twists by: -4 -3 5 |