Atkin-Lehner |
2+ 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3154a |
Isogeny class |
Conductor |
3154 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3672 |
Modular degree for the optimal curve |
Δ |
-17156145152 = -1 · 217 · 19 · 832 |
Discriminant |
Eigenvalues |
2+ 1 4 1 0 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1769,29164] |
[a1,a2,a3,a4,a6] |
j |
-611722215487369/17156145152 |
j-invariant |
L |
2.4570185585316 |
L(r)(E,1)/r! |
Ω |
1.2285092792658 |
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 |
25232l1 100928h1 28386f1 78850h1 |
Quadratic twists by: -4 8 -3 5 |