Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3696ba |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1124057088 = -1 · 214 · 34 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,72,1620] |
[a1,a2,a3,a4,a6] |
Generators |
[6:48:1] |
Generators of the group modulo torsion |
j |
9938375/274428 |
j-invariant |
L |
4.249999200317 |
L(r)(E,1)/r! |
Ω |
1.1628198279614 |
Real period |
R |
0.45686346866906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462a1 14784bx1 11088bo1 92400dt1 |
Quadratic twists by: -4 8 -3 5 |