Atkin-Lehner |
3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3249a |
Isogeny class |
Conductor |
3249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-5000211 = -1 · 36 · 193 |
Discriminant |
Eigenvalues |
0 3- 1 3 5 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-342,-2437] |
[a1,a2,a3,a4,a6] |
j |
-884736 |
j-invariant |
L |
2.220207638053 |
L(r)(E,1)/r! |
Ω |
0.55505190951325 |
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 |
51984cc1 361a1 81225p1 3249a2 |
Quadratic twists by: -4 -3 5 -19 |