Atkin-Lehner |
3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3549b |
Isogeny class |
Conductor |
3549 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-332324811 = -1 · 32 · 75 · 133 |
Discriminant |
Eigenvalues |
-2 3- -3 7+ 0 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-64302,6254642] |
[a1,a2,a3,a4,a6] |
Generators |
[147:19:1] |
Generators of the group modulo torsion |
j |
-13383627864961024/151263 |
j-invariant |
L |
1.7021837248276 |
L(r)(E,1)/r! |
Ω |
1.2027282379235 |
Real period |
R |
0.35381719476511 |
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 |
56784ch2 10647e2 88725ba2 24843k2 |
Quadratic twists by: -4 -3 5 -7 |