Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18744c |
Isogeny class |
Conductor |
18744 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
11806020864 = 28 · 310 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11- 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-617,-2949] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:54:1] |
Generators of the group modulo torsion |
j |
101634915328/46117269 |
j-invariant |
L |
5.7945121753526 |
L(r)(E,1)/r! |
Ω |
0.99966373509339 |
Real period |
R |
0.14491153304694 |
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 |
37488g1 56232m1 |
Quadratic twists by: -4 -3 |