Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120bf |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
7326888099840 = 220 · 39 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29523,-1948142] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:54:1] [2063:93366:1] |
Generators of the group modulo torsion |
j |
953054410321/2453760 |
j-invariant |
L |
9.1501486014344 |
L(r)(E,1)/r! |
Ω |
0.36427270560427 |
Real period |
R |
6.2797379961912 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390c1 17040x1 |
Quadratic twists by: -4 -3 |