Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540y |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-310108190895360 = -1 · 28 · 33 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16844,-93820] |
[a1,a2,a3,a4,a6] |
Generators |
[213668:3455418:2197] |
Generators of the group modulo torsion |
j |
2530736/1485 |
j-invariant |
L |
8.3791193984453 |
L(r)(E,1)/r! |
Ω |
0.32013531977966 |
Real period |
R |
8.7245599677392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015298 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111540bm1 |
Quadratic twists by: 13 |