Atkin-Lehner |
3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3549b |
Isogeny class |
Conductor |
3549 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-908114571 = -1 · 310 · 7 · 133 |
Discriminant |
Eigenvalues |
-2 3- -3 7+ 0 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,48,1460] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-176:1] |
Generators of the group modulo torsion |
j |
5451776/413343 |
j-invariant |
L |
1.7021837248276 |
L(r)(E,1)/r! |
Ω |
1.2027282379235 |
Real period |
R |
0.070763438953022 |
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 |
56784ch1 10647e1 88725ba1 24843k1 |
Quadratic twists by: -4 -3 5 -7 |