Atkin-Lehner |
3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3249c |
Isogeny class |
Conductor |
3249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-651632497731 = -1 · 36 · 197 |
Discriminant |
Eigenvalues |
0 3- -3 -1 -3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2166,-1715] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1624:1] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
2.2098626173246 |
L(r)(E,1)/r! |
Ω |
0.54031372945182 |
Real period |
R |
1.0224904980513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984cw1 361b1 81225w1 171b1 |
Quadratic twists by: -4 -3 5 -19 |