Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53100w |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
4129056000 = 28 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 -7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6240,189700] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:63:1] [20:-270:1] |
Generators of the group modulo torsion |
j |
1151860736/177 |
j-invariant |
L |
9.5428921134236 |
L(r)(E,1)/r! |
Ω |
1.3412374014612 |
Real period |
R |
0.29645796060621 |
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 |
17700w1 53100v1 |
Quadratic twists by: -3 5 |