Atkin-Lehner |
2- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27950l |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-6987500000000 = -1 · 28 · 511 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -2 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16313,810617] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1279:1] |
Generators of the group modulo torsion |
j |
-30726058889161/447200000 |
j-invariant |
L |
10.160064998291 |
L(r)(E,1)/r! |
Ω |
0.74889458734096 |
Real period |
R |
0.4239609106055 |
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 |
5590c1 |
Quadratic twists by: 5 |