Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540i |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-523307572135920 = -1 · 24 · 36 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5126,-1107939] |
[a1,a2,a3,a4,a6] |
Generators |
[74249:962793:343] |
Generators of the group modulo torsion |
j |
-1141504/40095 |
j-invariant |
L |
6.1201886965417 |
L(r)(E,1)/r! |
Ω |
0.22721773627312 |
Real period |
R |
4.4892245698755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540r1 |
Quadratic twists by: 13 |