Atkin-Lehner |
3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3825c |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-609609375 = -1 · 33 · 57 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-417,-3384] |
[a1,a2,a3,a4,a6] |
j |
-19034163/1445 |
j-invariant |
L |
1.0517857162967 |
L(r)(E,1)/r! |
Ω |
0.52589285814836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200ds1 3825a1 765b1 65025f1 |
Quadratic twists by: -4 -3 5 17 |