Atkin-Lehner |
2+ 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
62050d |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
52742500000 = 25 · 57 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 1 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10525,-419875] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:38:1] [145:990:1] |
Generators of the group modulo torsion |
j |
8253429989329/3375520 |
j-invariant |
L |
6.3252505479821 |
L(r)(E,1)/r! |
Ω |
0.47135629968296 |
Real period |
R |
3.3548138384071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410l1 |
Quadratic twists by: 5 |