Atkin-Lehner |
2+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
16936b |
Isogeny class |
Conductor |
16936 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
35520 |
Modular degree for the optimal curve |
Δ |
383312352512 = 28 · 295 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -4 -2 3 -4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2985,-56261] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:86:1] [-25:58:1] |
Generators of the group modulo torsion |
j |
11493762989056/1497313877 |
j-invariant |
L |
3.910401520639 |
L(r)(E,1)/r! |
Ω |
0.65142834355946 |
Real period |
R |
0.30014057258178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33872b1 |
Quadratic twists by: -4 |