Atkin-Lehner |
2- 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
55056u |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-3424923648 = -1 · 212 · 36 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 0 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,2804] |
[a1,a2,a3,a4,a6] |
Generators |
[14:72:1] [-10:48:1] |
Generators of the group modulo torsion |
j |
-1771561/836163 |
j-invariant |
L |
8.57105131125 |
L(r)(E,1)/r! |
Ω |
1.142617182892 |
Real period |
R |
0.31255187066656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3441a1 |
Quadratic twists by: -4 |