Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304m |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
469977552 = 24 · 38 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 0 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-966,11509] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:108:1] [6:77:1] |
Generators of the group modulo torsion |
j |
8546879488/40293 |
j-invariant |
L |
6.7869126713383 |
L(r)(E,1)/r! |
Ω |
1.6716217193509 |
Real period |
R |
1.0150192164849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608q1 9768l1 |
Quadratic twists by: -4 -3 |